 Nyora kuenderera mberi kweiyi ndima - Albertini akahwina mazita mazhinji mukati memakore ake kuMilan, uye akatora mazita matatu akateedzana eSerie A muna 1992, 1993uye 1994, uye akakwanisawo kubata mamwe scudetti maviri muna 1996 na1999. Mukuwedzera, akaita 41 Champions League kuonekwa, achibatsira Rossoneri kusvika matatu akatevedzana magumo pakati 1993 uye 1995, vachisimudza mukombe muna 1994. Akakundawo UEFA Super Cups mbiri, Italian Super Cups nhatu, uye Intercontinental Cup panguva yake yekirabhu. Albertini akaramba ari kuMilan kusvika 2002, apo maneja wake uye aimbova mudzidzisi Carlo Ancelotti akasarudza kutamba Andrea Pirlo ari kubuda panzvimbo yake. Munguva yake yekirabhu, akakwanisa zvibodzwa makumi maviri nesere mumitambo makumi mana nematanhatu; akahwinawo rekodhi yemunhu zvibodzwa zvisere mumwaka wa 28-1996. 