 Nyorai kuenderera mberi kweiyi ndima - Kunyangwe Fiorentina yaive ichirwira kudzikiswa mumwaka wa1989-90, Baggio akatungamira kirabhu kuenda kumagumo e1990 UEFA Cup, kungokundwa nekirabhu yake yemberi, Juventus. Baggio akarova chibodzwa chimwe chete mumitambo gumi nembiri mumakwikwi aya, mumutambo we16 10 kumba kuhwina Dynamo Kyiv, kubva pachikwereti, musi wa22 Mbudzi 1989; ichi chaive chibodzwa chake chekutanga mumakwikwi eEuropean. Akawanawo chirango chakakosha mumutambo wekutanga wekupfura neAtlético Madrid. Nezvibodzwa gumi neshanu, Baggio aive wechipiri-wepamusoro zvibodzwa mumwaka wa1989-90 Serie A mushure meMarco van Basten, uye akapihwa mubairo weBravo semutambi akanakisa ari pasi pemakore makumi maviri nematatu mumakwikwi eEuropean. Akaisawo wechisere mu1990 Ballon dOr. NaFiorentina, Baggio akarova zvibodzwa makumi mashanu neshanu mumitambo zana nemakumi matatu nenomwe, makumi matatu nenomwe aive muSerie A, kubva pamitambo makumi mapfumbamwe nemana. 