Rubuta ci gaba don wannan sakin layi - Wannan nasarar ba da daɗewa ba ta biyo bayan wani lokacin duhu a tarihin kulob din, lokacin da aka sauke Milan zuwa Serie B sau biyu a farkon shekarun 1980. Milan ta koma baya a shekarar 1980
don shiga cikin abin kunya na wasan wasa na 1980, kuma sau ɗaya bayan kammala na uku-na ƙarshe a cikin kakar 1981/82, bayan da ya koma Serie A a kakar da ta gabata, bayan ya lashe taken Serie B na 1980/81. Duk da kasancewa memba na tawagar Italiya ta Euro 1980 wanda ya gama na huɗu, da kuma tawagar da ta lashe gasar cin kofin duniya ta 1982, Baresi ya zaɓi ya zauna tare da Milan, ya lashe taken Serie B a karo na biyu a lokacin kakar 1982-83 kuma ya dawo da Milan zuwa Serie A. Bayan Aldo Maldera da Fulvio Collovati sun bar kulob din a 1982, an nada Baresi kyaftin din Milan, yana da shekaru 22, kuma zai rike wannan mukamin na tsawon lokacinsa a kulob din, ya zama alama da jagora ga kungiyar. A wannan lokacin mara kyau ga Milan, Baresi ya sami nasarar lashe Kofin Mitropa a 1982 kuma ya kai wasan karshe na Coppa Italia a lokacin kakar 1984/85, kodayake kungiyar ba ta yi nasara ba a Serie A.