 Nyorera kupfuurira kweiyi ndima - Mukupera kwema1980 nehafu yekutanga ye1990s, Baresi aive pamoyo wekudzivirirwa kweItaly yose pamwe naPaolo Maldini, Alessandro Costacurta, Mauro Tassotti uye gare gare Christian Panucci, pasi pemaneja Arrigo Sacchi naFabio Capello, dziviriro inoonekwa nevakawanda seimwe yeakanakisa enguva dzese. Apo kurwisa kweDutch trio Marco van Basten, Ruud Gullit naFrank Rijkaard vakasvika pakirabhu mukupera kwema1980, Milan yakatanga nguva yekukunda mudzimba nekune dzimwe nyika, uye pakati pa1987 na1996, pakukwirira kwekubudirira kwekirabhu, timu yeMilan yaive nenyeredzi zhinji dzeItaly nedzimwe nyika, dzakadai saRoberto Donadoni, Carlo Ancelotti, Marco van Basten, Ruud Gullit, Frank Rijkaard uye gare gare Demetrio Albertini, Dejan Savićević, Zvonimir Boban, Marcel Desailly, George Weah, Jean-Pierre Papin, Brian Laudrup naRoberto Baggio. Pasi paSacchi, Milan yakakunda mukombe weSerie A muna 198788, naBaresi achibatsira Milan kugamuchira zvibodzwa gumi nezvina chete. Mutambo uyu wakakurumidza kuteverwa neSupercoppa Italiana muna 1988 mwaka unotevera, uye back-to-back European Cups muna 1988-89 uye 1989-90; Mu1990 European Cup Final, Baresi akatendeuka kuita kwakasimba semutungamiriri wechikwata, achibatsira Milan kudzivirira zita reEuropean Cup uye kuchengetedza jira rakachena mukukunda 10 pamusoro peBenfica. Baresi aivawo runner-up kuti chikwata naye Van Basten nokuda Ballon dOr muna 1989, kupedza mberi mumwe wake chikwata Frank Rijkaard, uye akanzi Serie A Footballer of the Year muna 1989-90. Milan yakasvikawo kumagumo eCoppa Italia mumwaka wa1989-90. 