Ku qor sii wadida sadarkan - 1991, Batistuta waxaa loo xushay inuu u ciyaaro Argentina koobka Copa América ee lagu qabtay Chile, halkaas oo uu ku dhammeeyay tartanka isagoo ahaa goolhayaha ugu sareeya lix gool markii Argentina ay ku guuleysatay guusha. Sannadkii xigay, wuxuu ku guuleystay Koobka FIFA Confederations Cup ee Argentina, isagoo ku dhameystay inuu yahay goolhayaha ugu sareeya tartanka. Sanadkii 1993, Batistuta wuxuu ciyaaray kulankiisii labaad ee Copa América
, markan lagu qabtay Ecuador, taas oo Argentina ku guuleysatay iyadoo Batistuta uu dhaliyay labada gool ee guushii 2-1 ee Mexico ee finalka.