Erik Botheim and Ola Solbakken netted two goals each for Norwegian champion Bodo/Glimt, while Patrick Berg and Amahl Pellegrino scored one each against AS Roma.
Ante Rebic grabbed the third goal of a game that promised many more, with Milan edging a dramatic clash to stay in the Serie A title hunt.
Juventus drew again in Serie A at home against Hellas Verona, but Andrea Pirlo is unconcerned ahead of facing Barcelona on Wednesday