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

                                  SCHEDULE 13D
                                 (Rule 13d-101)
                                (Amendment No. 2)

             INFORMATION TO BE INCLUDED IN STATEMENTS FILED PURSUANT
            TO RULE 13d-1(a) AND AMENDMENTS THERETO FILED PURSUANT TO
                                  RULE 13d-2(a)




                              The Taiwan Fund, Inc
--------------------------------------------------------------------------------
                                (Name of Issuer)


                     Common Stock, par value $.01 per share
--------------------------------------------------------------------------------
                         (Title of Class of Securities)


                                    874036106
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                                 (CUSIP Number)


                                 Barry M. Olliff
            c/o City of London Investment Management Company Limited
                     10 Eastcheap, London EC3M ILX, England
                                +44 207 711 0771
--------------------------------------------------------------------------------
            (Name, Address and Telephone Number of Person Authorized
                     to Receive Notices and Communications)


                                  June 30, 2004
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             (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 which is the subject of this Schedule 13D, and is filing this
schedule because of Rule 13d-1(e), (f) or (g), check the following box [_].

*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 or otherwise subject to the liabilities of that section of the Act but
shall be subject to all other provisions of the Act.

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CUSIP NO. 874036106                     13D                          PAGE 2 of 5
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     1       NAME OF REPORTING PERSONS
             S.S. OR I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS

             City of London Investment Group PLC, a company incorporated under
             the laws of England and Wales.
------------ -------------------------------------------------------------------
     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 ITEM 2(D) OR 2(E)
                                                                             |_|
------------ -------------------------------------------------------------------
     6       CITIZENSHIP OR PLACE OF ORGANIZATION

             England and Wales
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                          7    SOLE VOTING POWER
      NUMBER OF                1,519,737
        SHARES          ------ -------------------------------------------------
     BENEFICIALLY         8    SHARED VOTING POWER
       OWNED BY                0
         EACH           ------ -------------------------------------------------
      REPORTING           9    SOLE DISPOSITIVE POWER
        PERSON                 1,519,737
         WITH           ------ -------------------------------------------------
                         10    SHARED DISPOSITIVE POWER
                               0
------------ -------------------------------------------------------------------
    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

             1,519,737
------------ -------------------------------------------------------------------
    12       CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN
             SHARES
                                                                             |_|
------------ -------------------------------------------------------------------
    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

             9.29%
------------ -------------------------------------------------------------------
    14       TYPE OF REPORTING PERSON*

             HC
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                               (Page 2 of 5 Pages)

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CUSIP NO. 874036106                     13D                          PAGE 3 of 5
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================================================================================
     1       NAME OF REPORTING PERSONS
             S.S. OR I.R.S. IDENTIFICATION NOS. OF ABOVE PERSONS

             City of London Investment Management Company Limited, a company
             incorporated under the laws of England and Wales.
------------ -------------------------------------------------------------------
     2       CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP            (A) |_|
                                                                         (B) |_|

------------ -------------------------------------------------------------------
     3       SEC USE ONLY


------------ -------------------------------------------------------------------
     4       SOURCE OF FUNDS*

             WC
------------ -------------------------------------------------------------------
     5       CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT
             TO ITEM 2(D) OR 2(E)
                                                                             |_|
------------ -------------------------------------------------------------------
     6       CITIZENSHIP OR PLACE OF ORGANIZATION

             England and Wales
--------------------------------------------------------------------------------
                          7    SOLE VOTING POWER
      NUMBER OF                1,489,737
        SHARES          ------ -------------------------------------------------
     BENEFICIALLY         8    SHARED VOTING POWER
       OWNED BY                0
         EACH           ------ -------------------------------------------------
      REPORTING           9    SOLE DISPOSITIVE POWER
        PERSON                 1,489,737
         WITH           ------ -------------------------------------------------
                         10    SHARED DISPOSITIVE POWER
                               0
------------ -------------------------------------------------------------------
    11       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

             1,489,737
------------ -------------------------------------------------------------------
    12       CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES CERTAIN
             SHARES
                                                                             |_|
------------ -------------------------------------------------------------------
    13       PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

             9.1%
------------ -------------------------------------------------------------------
    14       TYPE OF REPORTING PERSON*

             IA
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                               (Page 3 of 5 Pages)

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CUSIP NO. 874036106                     13D                          PAGE 4 of 5
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           This Amendment No. 2 to Schedule 13D (this "Amendment No. 2") should
           be read in conjunction with the Schedule 13D filed with the
           Securities and Exchange Commission (the "SEC") on August 14, 2003
           (the "Original Schedule 13D") by City of London Investment Group PLC
           and City of London Investment Management Company Limited relating to
           the shares of common stock, par value $.01 per share (the "Shares"),
           of The Taiwan Fund, Inc., (the "Fund"). This Amendment No. 2 amends
           and restates Item 5 of the Original Schedule 13D in their entirety.
           All other information in the Original Schedule 13D remains in effect.
           All capitalized terms used herein and not otherwise defined shall
           have the meanings ascribed thereto in the Original Schedule 13D.


ITEM 5.    INTERESTS IN SECURITIES OF THE ISSUER.
           -------------------------------------


           (a) and (b). As of June 30, 2004, EWF, GEM, IEM, FREE, the Accounts
           and Global owned directly 54,634, 80,000, 171,400, 51,400, 1,132,303,
           and 30,000 Shares, respectively, representing approximately 0.33%,
           0.49%, 1.05%, 0.31%, 6.92%, and 0.18%, respectively, of the 16.4
           million Shares outstanding as of January 1, 2004, as stated in the
           Fund's Form 8-K filed with the Securities and Exchange Commission on
           March 31, 2004.

           As of June 30, 2004, CLIG, through its control of CLIM, had sole
           voting and dispositive power with respect to all 1,519,737 Shares
           owned directly by the City of London Funds and the Accounts,
           representing approximately 9.29% of the 16.4 million Shares
           outstanding as of January 1, 2004, as stated in the Fund's Form 8-K
           filed with the Securities and Exchange Commission on March 31, 2004.

           As of June 30, 2004, CLIM, in its capacity as investment adviser to
           the City of London Funds, had sole voting and dispositive power with
           respect to all 1,489,737 Shares owned directly by the City of London
           Funds and the Accounts, representing approximately 9.10% of the 16.4
           million Shares outstanding as of January 1, 2004, as stated in the
           Fund's Form 8-K filed with the Securities and Exchange Commission on
           March 31, 2004.


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CUSIP NO. 874036106                     13D                          PAGE 5 of 5
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                                    SIGNATURE


After reasonable inquiry and to the best of my knowledge and belief, I certify
that the information set forth in this statement is true, complete and correct.


Dated:  August 10, 2004


                                             CITY OF LONDON INVESTMENT GROUP PLC


                                             /s/ Barry M. Olliff
                                             -----------------------------------
                                             Name: Barry M. Olliff
                                             Title: Director




                                             CITY OF LONDON INVESTMENT
                                             MANAGEMENT COMPANY LIMITED


                                             /s/ Barry M. Olliff
                                             -----------------------------------
                                             Name: Barry M. Olliff
                                             Title: Director