Nyorai mberi kweiyi ndima - Kubudirira uku kwakakurumidza kuteverwa nenguva yerima munhoroondo yekirabhu, apo Milan yakadzikiswa kuSerie B kaviri mukutanga kwema1980. Milan yakaderedzwa muna 1980
nokuda kwekubatanidzwa mumutambo wekugadzirisa mutambo we1980, uye zvakare zvakare mushure mekupedzisa wechitatu-pakupedzisira mumwaka we1981-82, mushure mekunge vadzokera kuSerie A mwaka wapfuura, mushure mekukunda 1980-81 Serie B zita. Pasinei nokuva nhengo yeEuro 1980 Italy squad iyo yakanga yapedza yechina, uye 1982 World Cup-winning team, Baresi akasarudza kugara neMilan, achikunda zita reSerie B kechipiri mumwaka wa1982-83 uye kudzosa Milan kuSerie A. Mushure mekunge Aldo Maldera naFulvio Collovati vasiya kirabhu muna 1982, Baresi akagadzwa kaputeni weMilan, pazera remakore makumi maviri nemaviri, uye aizobata chinzvimbo ichi kwenguva yakareba yenguva yake mukirabhu, achiva chiratidzo uye mutungamiri wechikwata. Munguva iyi yakaoma yeMilan, Baresi akakwanisa kuhwina Mitropa Cup muna 1982 uye akasvika kuCoppa Italia yekupedzisira mumwaka wa1984-85, kunyangwe timu yakatadza kutonga muSerie A.