EX-99.906CERT

         CERTIFICATION PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT

I, Bruce N. Alpert, Principal Executive Officer of Gabelli Global Series Funds,
Inc. (the "Registrant"), certify that:

         1.     The Form N-CSR of the Registrant (the "Report") fully complies
                with the requirements of Section 13(a) or 15(d) of the
                Securities Exchange Act of 1934, as amended; and

         2.     The information contained in the Report fairly presents, in all
                material respects, the financial condition and results of
                operations of the Registrant.


Date:    March 9, 2004                      /s/ Bruce N. Alpert
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                                            Bruce N. Alpert, Principal Executive
                                            Officer and Principal Financial
                                            Officer