They take on newly-promoted Spezia Calcio at San Siro and will expect to keep that momentum going with another victory.
They've done so whilst juggling Europa League qualifying duties after finishing sixth last season and beat Bodo/Glimt 3-2 before a dramatic penalty shootout victory over Rio Ave to get them into the group stages.
Milan have finished sixth in three of the last four seasons - finishing fifth the other year - and have not been able to break back into the Champions League spots since the 2012-13 season, despite their best efforts.
The last seven seasons have been disappointing for a club of Milan's stature, but their strong start this year may give the Rossoneri hope that this campaign will be the beginning of their revival.
And they will feel confident of maintaining that strong start as they take on a second newly-promoted side in as many league games in the form of Spezia.
However, they face their toughest challenge yet, going up against an in-form Milan side at San Siro - a daunting prospect.
They will hope that Milan's Europa League exertions have taken their toll and will allow them to spring a surprise.
AC Milan Serie A form: WW
AC Milan form (all competitions): WWWWW
Spezia Calcio Serie A form: LW
Milan manager Stefano Pioli has several injuries to contend with in his squad as he prepares for the visit of Spezia.
Spezia boss Vincenzo Italiano has similar selection problems to deal with ahead of Sunday's trip to Milan.
AC Milan possible starting lineup:
Donnarumma; Calabria, Kjaer, Gabbia, Hernandez; Kessie, Bennacer; Castillejo, Calhanoglu, Saelemaekers; Maldini
Spezia Calcio possible starting lineup:
Rafael; Ferrer, Erlic, Chabot, Ramos; Deiola, Ricci, Maggiore; Verde, Galabinov, Gyasi
We say: AC Milan 2-0 Spezia Calcio
AC Milan have cruised to victory in each of their first two games and should have no trouble brushing newly-promoted Spezia aside at home.