 A playmaking nechepakati midfielder uyo aiva nomukurumbira akasununguka-kick nyanzvi, Giunti akatanga basa rake nechepakati-1980s, pamwe Città di Castello vechidiki hurongwa, kuita nyanzvi yake yokutanga muna 1987, uye kuhwina Regional Promozione divi muna 1991. Akazotamira kuPerugia, uye aive chikamu chechikwata chakasimudzirwa kuSerie A kubva kuSerie C1 mumakore matatu. Mumwaka wake wekutanga muSerie C1 nekirabhu, akaita 20 kuoneka, uye mumwaka wa1992-93, akaita 28 kuoneka uye akarova zvibodzwa zvina. Perugia akakunda 199394 Serie C1 B zita, kuwana kukwidziridzwa kuSerie B, sezvo Giunti akakwanisa zvibodzwa zvina mumitambo makumi maviri nemana. Mumwaka wake wekutanga muSerie B, akarova zvibodzwa zvinomwe mumitambo makumi maviri nemapfumbamwe, uye mwaka unotevera, akabatsira Perugia kuwana kukwidziridzwa kuSerie A, achihwina zvibodzwa zvishanu mumitambo makumi maviri neshanu. Munguva ye1996-97 Serie AMwaka, akaita Serie A yake kutanga musi wa8 Gunyana 1996, mumusha 10 kukunda Sampdoria. 