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                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  SCHEDULE 13D
                    Under the Securities Exchange Act of 1934
                               (Amendment No. 2)*



- --------------------------------------------------------------------------------

                                   Valero L.P.
- --------------------------------------------------------------------------------
                                (Name of Issuer)

               Common Units representing limited partner interests
- --------------------------------------------------------------------------------
                         (Title of Class of Securities)

                                   91913W 10 4
                                 --------------
                                 (CUSIP Number)

                                 Jay D. Browning
                            Valero Energy Corporation
                                One Valero Place
                            San Antonio, Texas 78212
                                 (210) 370-2000
- --------------------------------------------------------------------------------
            (Name, Address and Telephone Number of Person Authorized
                     to Receive Notices and Communications)


                                 August 11, 2003
                      ------------------------------------
                  (Date of Event which Requires Filing of this
                                   Statement)

If the filing person has previously  filed a statement on Schedule 13G to report
the  acquisition  that is the subject of this  Schedule  13D, and is filing this
schedule because of ss.ss.240.13d-1(e),  240.13d-1(f) or 240.13d-1(g), check the
following box [ ].

Note:  Schedules  filed in paper format shall include a signed original and five
copies of the  schedule,  including  all exhibits.  See  ss.240.13d-7  for other
parties to whom copies are to be sent.

*The  remainder of this cover page shall be filled out for a reporting  person's
initial filing on this form with respect to the subject class of securities, and
for  any  subsequent   amendment   containing   information  which  would  alter
disclosures provided in a prior cover page.

The information required on the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the  Securities  Exchange  Act of
1934 ("Act") or otherwise  subject to the liabilities of that section of the Act
but  shall be  subject  to all other  provisions  of the Act  (however,  see the
Notes).


SCHEDULE 13D CUSIP No. 91913W 10 4 Page 2 of 12 Pages - -------------------------------------------------------------------------------- 1 NAME OF REPORTING PERSON I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS (ENTITIES ONLY) Valero Energy Corporation 74-1828067 - -------------------------------------------------------------------------------- 2 CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS) (a) [ ] (b) [ ] - -------------------------------------------------------------------------------- 3 SEC USE ONLY - -------------------------------------------------------------------------------- 4 SOURCE OF FUNDS * OO - -------------------------------------------------------------------------------- 5 CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO ITEMS 2(d) OR 2(e) [ ] - -------------------------------------------------------------------------------- 6 CITIZENSHIP OR PLACE OF ORGANIZATION Delaware - -------------------------------------------------------------------------------- NUMBER OF 7 SOLE VOTING POWER SHARES 621,729 Common Units of Valero L.P. BENEFICIALLY ----------------------------------------------- OWNED BY 8 SHARED VOTING POWER EACH -0- REPORTING ----------------------------------------------- PERSON 9 SOLE DISPOSITIVE POWER WITH 621,729 Common Units of Valero L.P. ----------------------------------------------- 10 SHARED DISPOSITIVE POWER -0- - -------------------------------------------------------------------------------- 11 AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 621,729 Common Units of Valero L.P. - -------------------------------------------------------------------------------- 12 CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES * [ ] - -------------------------------------------------------------------------------- 13 PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) 4.63% - -------------------------------------------------------------------------------- 14 TYPE OF REPORTING PERSON * HC, CO - -------------------------------------------------------------------------------- *SEE INSTRUCTIONS BEFORE FILLING OUT!

SCHEDULE 13D CUSIP No. 91913W 10 4 Page 3 of 12 Pages - -------------------------------------------------------------------------------- 1 NAME OF REPORTING PERSON S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON TPI Petroleum, Inc. 38-0757140 - -------------------------------------------------------------------------------- 2 CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP* (a) [ ] (b) [ ] - -------------------------------------------------------------------------------- 3 SEC USE ONLY - -------------------------------------------------------------------------------- 4 SOURCE OF FUNDS* OO - -------------------------------------------------------------------------------- 5 CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO ITEMS 2(d) OR 2(e) [ ] - -------------------------------------------------------------------------------- 6 CITIZENSHIP OR PLACE OF ORGANIZATION Michigan - -------------------------------------------------------------------------------- NUMBER OF 7 SOLE VOTING POWER SHARES -0- BENEFICIALLY ----------------------------------------------- OWNED BY 8 SHARED VOTING POWER EACH 614,572 Common Units of Valero L.P. REPORTING ----------------------------------------------- PERSON 9 SOLE DISPOSITIVE POWER WITH -0- ----------------------------------------------- 10 SHARED DISPOSITIVE POWER 614,572 Common Units of Valero L.P. - -------------------------------------------------------------------------------- 11 AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 614,572 Common Units of Valero L.P. - -------------------------------------------------------------------------------- 12 CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES* [ ] - -------------------------------------------------------------------------------- 13 PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) 4.57% - -------------------------------------------------------------------------------- 14 TYPE OF REPORTING PERSON HC, CO - -------------------------------------------------------------------------------- *SEE INSTRUCTIONS BEFORE FILLING OUT!

SCHEDULE 13D CUSIP No. 91913W 10 4 Page 4 of 12 Pages - -------------------------------------------------------------------------------- 1 NAME OF REPORTING PERSON S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON Diamond Shamrock Refining and Marketing Company 74-2505379 - -------------------------------------------------------------------------------- 2 CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP* (a) [ ] (b) [ ] - -------------------------------------------------------------------------------- 3 SEC USE ONLY - -------------------------------------------------------------------------------- 4 SOURCE OF FUNDS* OO - -------------------------------------------------------------------------------- 5 CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO ITEMS 2(d) OR 2(e) [ ] - -------------------------------------------------------------------------------- 6 CITIZENSHIP OR PLACE OF ORGANIZATION Delaware - -------------------------------------------------------------------------------- NUMBER OF 7 SOLE VOTING POWER SHARES -0- BENEFICIALLY ----------------------------------------------- OWNED BY 8 SHARED VOTING POWER EACH 621,729 Common Units of Valero L.P. REPORTING ----------------------------------------------- PERSON 9 SOLE DISPOSITIVE POWER WITH -0- ----------------------------------------------- 10 SHARED DISPOSITIVE POWER 621,729 Common Units of Valero L.P. - -------------------------------------------------------------------------------- 11 AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 621,729 Common Units of Valero L.P. - -------------------------------------------------------------------------------- 12 CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES* [ ] - -------------------------------------------------------------------------------- 13 PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) 4.63% - -------------------------------------------------------------------------------- 14 TYPE OF REPORTING PERSON HC, CO - -------------------------------------------------------------------------------- *SEE INSTRUCTIONS BEFORE FILLING OUT!

SCHEDULE 13D CUSIP No. 91913W 10 4 Page 5 of 12 Pages - -------------------------------------------------------------------------------- 1 NAME OF REPORTING PERSON S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON Sigmor Corporation 75-1828463 - -------------------------------------------------------------------------------- 2 CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP* (a) [ ] (b) [ ] - -------------------------------------------------------------------------------- 3 SEC USE ONLY - -------------------------------------------------------------------------------- 4 SOURCE OF FUNDS* OO - -------------------------------------------------------------------------------- 5 CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO ITEMS 2(d) OR 2(e) [ ] - -------------------------------------------------------------------------------- 6 CITIZENSHIP OR PLACE OF ORGANIZATION Delaware - -------------------------------- ------- --------------------------------------- NUMBER OF 7 SOLE VOTING POWER SHARES -0- BENEFICIALLY ----------------------------------------------- OWNED BY 8 SHARED VOTING POWER EACH 614,572 Common Units of Valero L.P. REPORTING ----------------------------------------------- PERSON 9 SOLE DISPOSITIVE POWER WITH -0- ----------------------------------------------- 10 SHARED DISPOSITIVE POWER 614,572 Common Units of Valero L.P. - -------------------------------------------------------------------------------- 11 AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 614,572 Common Units of Valero L.P. - -------------------------------------------------------------------------------- 12 CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES* [ ] - -------------------------------------------------------------------------------- 13 PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) 4.57% - -------------------------------------------------------------------------------- 14 TYPE OF REPORTING PERSON HC, CO - -------------------------------------------------------------------------------- *SEE INSTRUCTIONS BEFORE FILLING OUT!

SCHEDULE 13D CUSIP No. 91913W 10 4 Page 6 of 12 Pages - -------------------------------------------------------------------------------- 1 NAME OF REPORTING PERSON S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON The Shamrock Pipe Line Corporation 75-6012115 - -------------------------------------------------------------------------------- 2 CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP* (a) [ ] (b) [ ] - -------------------------------------------------------------------------------- 3 SEC USE ONLY - -------------------------------------------------------------------------------- 4 SOURCE OF FUNDS* OO - -------------------------------------------------------------------------------- 5 CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO ITEMS 2(d) OR 2(e) [ ] - -------------------------------------------------------------------------------- 6 CITIZENSHIP OR PLACE OF ORGANIZATION Delaware - -------------------------------------------------------------------------------- NUMBER OF 7 SOLE VOTING POWER SHARES -0- BENEFICIALLY ----------------------------------------------- OWNED BY 8 SHARED VOTING POWER EACH 614,572 Common Units of Valero L.P. REPORTING ----------------------------------------------- PERSON 9 SOLE DISPOSITIVE POWER WITH -0- ----------------------------------------------- 10 SHARED DISPOSITIVE POWER 614,572 Common Units of Valero L.P. - -------------------------------------------------------------------------------- 11 AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 614,572 Common Units of Valero L.P. - -------------------------------------------------------------------------------- 12 CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES* [ ] - -------------------------------------------------------------------------------- 13 PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) 4.57% - -------------------------------------------------------------------------------- 14 TYPE OF REPORTING PERSON HC, CO - -------------------------------------------------------------------------------- *SEE INSTRUCTIONS BEFORE FILLING OUT!

SCHEDULE 13D CUSIP No. 91913W 10 4 Page 7 of 12 Pages - -------------------------------------------------------------------------------- 1 NAME OF REPORTING PERSON S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON Diamond Shamrock Refining Company, L.P. 74-2691167 - -------------------------------------------------------------------------------- 2 CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP* (a) [ ] (b) [ ] - -------------------------------------------------------------------------------- 3 SEC USE ONLY - -------------------------------------------------------------------------------- 4 SOURCE OF FUNDS* OO - -------------------------------------------------------------------------------- 5 CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO ITEMS 2(d) OR 2(e) [ ] - -------------------------------------------------------------------------------- 6 CITIZENSHIP OR PLACE OF ORGANIZATION Delaware - -------------------------------------------------------------------------------- NUMBER OF 7 SOLE VOTING POWER SHARES -0- BENEFICIALLY ----------------------------------------------- OWNED BY 8 SHARED VOTING POWER EACH 614,572 Common Units of Valero L.P. REPORTING ----------------------------------------------- PERSON 9 SOLE DISPOSITIVE POWER WITH -0- ----------------------------------------------- 10 SHARED DISPOSITIVE POWER 614,572 Common Units of Valero L.P. - -------------------------------------------------------------------------------- 11 AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 614,572 Common Units of Valero L.P. - -------------------------------------------------------------------------------- 12 CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES* [ ] - -------------------------------------------------------------------------------- 13 PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) 4.57% - -------------------------------------------------------------------------------- 14 TYPE OF REPORTING PERSON HC, PN - -------------------------------------------------------------------------------- *SEE INSTRUCTIONS BEFORE FILLING OUT!

SCHEDULE 13D CUSIP No. 91913W 10 4 Page 8 of 12 Pages - -------------------------------------------------------------------------------- 1 NAME OF REPORTING PERSON S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON TPI Pipeline Corporation 38-1347772 - -------------------------------------------------------------------------------- 2 CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP* (a) [ ] (b) [ ] - -------------------------------------------------------------------------------- 3 SEC USE ONLY - -------------------------------------------------------------------------------- 4 SOURCE OF FUNDS* OO - -------------------------------------------------------------------------------- 5 CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO ITEMS 2(d) OR 2(e) [ ] - -------------------------------------------------------------------------------- 6 CITIZENSHIP OR PLACE OF ORGANIZATION Michigan - -------------------------------------------------------------------------------- NUMBER OF 7 SOLE VOTING POWER SHARES -0- BENEFICIALLY ----------------------------------------------- OWNED BY 8 SHARED VOTING POWER EACH 614,572 Common Units of Valero L.P. REPORTING ----------------------------------------------- PERSON 9 SOLE DISPOSITIVE POWER WITH -0- ----------------------------------------------- 10 SHARED DISPOSITIVE POWER 614,572 Common Units of Valero L.P. - -------------------------------------------------------------------------------- 11 AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 614,572 Common Units of Valero L.P. - -------------------------------------------------------------------------------- 12 CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES* [ ] - -------------------------------------------------------------------------------- 13 PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) 4.57% - -------------------------------------------------------------------------------- 14 TYPE OF REPORTING PERSON HC, CO - -------------------------------------------------------------------------------- *SEE INSTRUCTIONS BEFORE FILLING OUT!

SCHEDULE 13D CUSIP No. 91913W 10 4 Page 9 of 12 Pages - -------------------------------------------------------------------------------- 1 NAME OF REPORTING PERSON S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON UDS Logistics, LLC 85-0470977 - -------------------------------------------------------------------------------- 2 CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP* (a) [ ] (b) [ ] - -------------------------------------------------------------------------------- 3 SEC USE ONLY - -------------------------------------------------------------------------------- 4 SOURCE OF FUNDS* OO - -------------------------------------------------------------------------------- 5 CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO ITEMS 2(d) OR 2(e) [ ] - -------------------------------------------------------------------------------- 6 CITIZENSHIP OR PLACE OF ORGANIZATION Delaware - -------------------------------------------------------------------------------- NUMBER OF 7 SOLE VOTING POWER SHARES -0- BENEFICIALLY ----------------------------------------------- OWNED BY 8 SHARED VOTING POWER EACH 614,572 Common Units of Valero L.P. REPORTING ----------------------------------------------- PERSON 9 DISPOSITIVE POWER WITH -0- ----------------------------------------------- 10 SHARED DISPOSITIVE POWER 614,572 Common Units of Valero L.P. - -------------------------------------------------------------------------------- 11 AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON 614,572 Common Units of Valero L.P. - -------------------------------------------------------------------------------- 12 CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN SHARES* [ ] - -------------------------------------------------------------------------------- 13 PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11) 4.57% - -------------------------------------------------------------------------------- 14 TYPE OF REPORTING PERSON HC, CO - -------------------------------------------------------------------------------- *SEE INSTRUCTIONS BEFORE FILLING OUT!

Page 10 of 12 Pages Item 1. Security and Issuer This Amendment No.2 (the "Amendment") to Schedule 13D is being filed by Valero Energy Corporation ("Valero Energy") and certain of its subsidiaries, TPI Petroleum, Inc., Diamond Shamrock Refining and Marketing Company, Sigmor Corporation, The Shamrock Pipe Line Corporation, Diamond Shamrock Refining Company, L.P., TPI Pipeline Corporation and UDS Logistics (collectively, the "Subsidiaries" and together with Valero Energy, the "Reporting Persons") to amend the Schedule 13D that was previously filed on March 25, 2003. This statement relates to the common units representing limited partner interests (the "Common Units") of Valero L.P., a Delaware limited partnership (the "Partnership"), which has its principal executive offices at One Valero Place, San Antonio, Texas 78212. Item 2. Identity and Background The information previously furnished in response to Item 2 is amended to add the following: On August 11, 2003, the Partnership completed a public offering (the "Offering") of 1,236,250 common units representing limited partner interests, including common units issuable pursuant to an over-allotment option granted to the underwriter, under the Partnership's shelf registration statement on Form S-3 (Registration No. 333-89978). The sale price of the common units was $41.15 per unit with an underwriting discount of $1.85. The Offering increased the amount of Common Units outstanding from 12,205,822 to 13,442,072 Common Units, reducing Valero Energy's ownership of the Partnership's Common Units to 4.63%. Of the 13,442,072 Common Units outstanding, 73,319 are owned by an affiliate of Valero Energy. The voting and dispositive rights with respect to 66,162 of these 73,319 Common Units have been relinquished. Accordingly, these 66,162 units are not included in the Common Units beneficially owned by the Reporting Person. Item 4. Purpose of Transaction The information previously furnished in response to Item 4 is amended to add the following: The purpose of the Offering was to generate net proceeds for working capital and general partnership purposes, including future acquisitions and expansion capital projects. Item 5. Interest in Securities of the Partnership The information previously furnished in response to Item 5 is amended to add the following: The following Reporting Persons, TPI Petroleum, Inc., Sigmor Corporation, The Shamrock Pipe Line Corporation, Diamond Shamrock Refining Company, L.P., TPI Pipeline Corporation and UDS Logistics, are deemed to be the beneficial owners of 614,572 Common Units, which constitute approximately 4.57% of the total issued and outstanding Common Units as of August 11, 2003 (based on 13,442,072 Common Units outstanding after giving effect to the Offering.) The following Reporting Persons, Valero Energy and Diamond Shamrock Refining and Marketing Company, are deemed to be the beneficial owners of 621,729 Common Units, which constitute approximately 4.63% of the total issued and outstanding Common Units as of August 11, 2003. The Reporting Persons also hold, through UDS Logistics, 9,599,322 subordinated units representing limited partner interests in the Partnership. Assuming the financial tests set forth in the agreement of limited partnership of the Partnership are met, all 9,599,322 subordinated units will automatically convert into Common Units on a one-for-one basis on the first day after the record date for distributions in respect of the quarter ending March 31, 2006. Further, all subordinated units will automatically convert into Common Units on a one-for-one basis prior to such date if the unitholders remove the general partner of the Partnership without cause and the units held by the general partner and its affiliates are not voted in favor of the removal. On August 11, 2003, the Reporting Persons ceased to be the beneficial owners of more than five percent of the Common Units.

Page 11 of 12 Pages Item 6. Contracts, Arrangements, Understandings or Relationships with respect to Securities of the Company The information previously furnished in response to Item 6 is amended to add the following: The Partnership entered into an Underwriting Agreement dated August 5, 2003 with Lehman Brothers Inc., (the "Underwriter") pursuant to which the Partnership agreed to issue and sell to the Underwriter 1,075,000 Common Units and granted to the Underwriter an option to purchase an additional 161,250 Common Units, which the Underwriter exercised on August 6, 2003. Signature After reasonable inquiry and to the best of our knowledge and belief, the undersigned certify that the information set forth in this statement is true, complete and correct. Date: August 11, 2003 Valero Energy Corporation By: /s/Jay D. Browning -------------------------------------------- Name: Jay D. Browning Title: Vice President and Corporate Secretary TPI Petroleum, Inc. By: /s/Jay D. Browning -------------------------------------------- Name: Jay D. Browning Title: Vice President and Secretary Diamond Shamrock Refining and Marketing Company By: /s/Jay D. Browning -------------------------------------------- Name: Jay D. Browning Title: Vice President and Secretary Page 12 of 12 Pages

Sigmor Corporation By: /s/Jay D. Browning ------------------------------------------- Name: Jay D. Browning Title: Vice President and Secretary The Shamrock Pipe Line Corporation By: /s/Jay D. Browning ------------------------------------------- Name: Jay D. Browning Title: Vice President and Secretary Diamond Shamrock Refining Company, L.P. By: /s/Jay D. Browning ------------------------------------------- Name: Jay D. Browning Title: Vice President and Secretary TPI Pipeline Corporation By: /s/Jay D. Browning ------------------------------------------- Name: Jay D. Browning Title: Vice President and Secretary UDS Logistics, LLC By: /s/Corky Davis ------------------------------------------- Name: Corky Davis Title: Secretary