 Baggio akatanga basa rake rokutamba nhabvu aine makore mashanu muTombolo, mudunhu rePadua. Akaonekwa neTorino scouts pazera remakore gumi nematatu uye akatorwa muTorino youth system. Akaita kutanga kwake muSerie A semakore gumi nemapfumbamwe ekuberekwa achipesana neLazio uye akazova nhengo yenguva dzose yeiyo yekutanga line-up, achizviitira zita semunhu wechidiki anovimbisa. Akabuda semunhu akasimba, anoshanda nesimba, anowirirana, uye ane hunyanzvi hwekuzvidzivirira panguva yake mukirabhu, uyo aikwanisa kutamba munzvimbo dzinoverengeka. NaTorino, akahwina 1989-1990 Serie B zita, ichiteverwa ne1991 Mitropa Cup. Akanga akweretwa kuInter pazera remakore 20 muna 1991 nokuda kwegore ra1991-92.mwaka, achiita mitambo 27 uye achihwina chibodzwa chimwe. 