 Ramba uchinyora ndima iyi - Pasinei nokudzikiswa kwake pabhenji, Abbiati akakwanisa kubatsira kuMilan kukunda Coppa Italia neChampions League mwaka iwoyo. Akaonekwa muMilans 2003 Supercoppa ItalianaVakarasikirwa neJuventus pakurohwa, asi Dida akazowanazve chinzvimbo chake semubati wepagedhi anotanga. Abbiati akatamba miniti imwe chete mumutambo weMilan we2004-05 weChampions League, paakauya semutambi muminiti ye74th mushure mekunge Dida arohwa nebhuruu rakakandwa kubva kuvanhu vazhinji panguva yemutambo wechipiri wekupedzisira-kumagumo nevanokwikwidzana nemuguta reInternazionale musi wa12 Kubvumbi 2005. Mutambo wacho pakupedzisira wakarambidzwa pasati papera miniti. Mutambo wake wekupedzisira mumutambo weMilan wakauya musi wa20 Chivabvu mu3x3 imba yekurova nePalermo, mutambo wakaona vatambi vekutanga vakazorora kumagumo eChampions League, iyo Milan yakarasikirwa neLiverpool mushure mekuparadza 3x0 yekutanga nguva. Milan yakapedza yechipiri muSerie A mwaka iwoyo. 