The Rossoneri face Juventus in the second leg of their Coppa Italia semi-final tie in Turin on Tuesday night, host Roma in a pivotal Serie A clash on Saturday evening before next week welcoming Champions League quarter-final opponents Barcelona to San Siro.
The pressure on Massimiliano Allegri's men is undoubtedly set to be cranked up a notch but Galliani is just fine with that.
"It's defining moment in our season," the Rossoneri CEO told Milan Channel. "Within eight days we have three key games in three different competitions.
"First Juve in the cup, then Rome on Saturday in the [Italian] championship before we receive Barcelona the following Wednesday.
"It's beautiful, though, because it means that we are still fighting on all three fronts."
Galliani is also smiling at the moment after seeing veteran midfielder Gennaro Gattuso make his return from career-threatening ocular problems in last weekend's victory at Parma.
"Rino [Gattuso] is very important for Milan," he admitted. "His return means a lot to the dressing room.
"He never stopped fighting to get back on the field; he never gave up."
Galliani also had some words of praise for coach Allegri, who has successfully transformed former Ajax full-back Urby Emanuelson into a trequartista this season.
"We thought he could be a great player," he explained. "But it's been a very good move by the coach because we took him [Emanuelson] in midfield or as a full-back but Allegri has instead tried him as a trequartista and he's now doing very well."
Milan's meeting with Juventus on Tuesday gets underway at 20:45CET.
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