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:    09/03/03          /S/ BRUCE N. ALPERT
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                           Bruce N. Alpert, Principal Executive Officer

I, Gus A.  Coutsouros,  Principal  Financial  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:    09/03/03          /S/ GUS A. COUTSOUROS
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                           Gus A. Coutsouros, Principal Financial Officer