 Nyorai kuenderera mberi kweiyi ndima - Akazvarwa muTravagliato, mudunhu reBrescia, Baresi akawanikwa neInter achiri mudiki, uye akazova nhengo yechikwata chevechidiki. Akaita kutanga kwake kwehunyanzvi nechikwata chevakuru muCoppa Italia musi wa8 Chikumi 1977, mukukunda 10 pamusoro peJuventus mumwaka wa197677, uye akaita Serie A yake kutanga mwaka unotevera. Akazove kaputeni wekirabhu yeMilan kubva muna 1988 kusvika muna 1992, uye akapedza mwaka gumi nematanhatu neInternazionale, achitamba mitambo 559 kusanganisira 392 Serie A mitambo, 73 mitambo yeEuropean, uye 94 Coppa Italia mitambo uye akarova zvibodzwa gumi nematatu gumi muSerie A, imwe mumitambo yeEuropean, uye maviri muCoppa Italia. NaInter, akahwina mbiri Serie A mazita, maviri Italian Cups, UEFA Cup, uye Supercoppa Italiana. Mushure mekusiya Inter pakupera kwemwaka wa1991-92, Baresi akatambawo Modena muSerie B kwemwaka yakati wandei asati aenda pamudyandigere muna 1994, aine makore makumi matatu nematanhatu. 