FORM 6-K
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                        REPORT OF FOREIGN PRIVATE ISSUER

                    Pursuant to Rule 13a-16 or 15d-16 of the
                         Securities Exchange Act of 1934

                            For the month of May 2004

                        Commission File Number: 0-30852

                          GRUPO FINANCIERO GALICIA S.A.

                          Galicia Financial Group S.A.
                 (Translation of registrant's name into English)

                          Tte. Gral. Juan D. Peron 456
                       (C1038AAJ) Buenos Aires, Argentina
                    (Address of principal executive offices)


Indicate by check mark whether the registrant files or will file annual reports
under cover of Form 20-F or Form 40-F.


                        Form 20-F X      Form 40-F
                                 ---              ---


Indicate by check mark whether by furnishing the information contained in this
Form, the registrant is also thereby furnishing the information to the
Commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of 1934.

                             Yes         No X
                                ---        ---

If "Yes" is marked, indicate below the file number assigned to the registrant in
connection with Rule 12g3-2(b):  82-
                                    ---------------.



                                    FORM 6-K

                           Commission File No. 0-30852

Month Filed                 Event and Summary                        Exhibit No.

 May 2004      Press release, dated May 6, 2004, announcing              99.1
               the results of Banco de Galicia y Buenos Aires
               S.A.'s concurrent bank debt restructuring and
               exchange offer to holders of its 9% Notes due
               2003 and Step Up Floating Rate Notes due 2002.







                                   SIGNATURES

     Pursuant to the requirements of the Securities Exchange Act of 1934, the
registrant has duly caused this report to be signed on its behalf by the
undersigned, thereunto duly authorized.

                                         GRUPO FINANCIERO GALICIA S.A.
                                         (Registrant)



    Date:  May 10, 2004                   By:/s/ Antonio Garces
                                           ------------------------------------
                                            Name:   Antonio Garces
                                            Title:  Chief Executive Officer