Although title-holders Barcelona are unlikely to repeat the 7-1 aggregate win they pulled off in the first meeting of the two sides in the 1959/60 European Cup, they have looked unstoppable in the Champions League this season.
Seven-times champions Milan, on the other hand, have been struggling with injuries in the run-up to the quarter-final first-leg tie, a repeat of the 1994 final which the Italians won 4-0.
Pep Guardiola's side have won seven and drawn one of their eight games, scoring 30 goals at an average of nearly four per match, and beat Milan 3-2 at the San Siro in the group stage.
The outlook became bleaker for Milan after Thiago Silva, the linchpin of their defence, joined Milan's lengthy injured list, the Brazilian limping off early during the 2-1 win over AS Roma on Saturday.
They good news is that Kevin-Prince Boateng, who scored one of the goals of the competition in Barcelona's 3-2 win in November, is fit again while Zlatan Ibrahimovic has been in outstanding form in attack.
The volatile Swede, who left Barcelona in acrimonious circumstances 18 months ago, remains Milan's trump card with 22 goals in Serie A this season and five in the Champions League.
"We knew that Thiago Silva had a problem, but he seemed fine," Galliani told reporters. "Then he got injured and everyone is talking about it.
"Nobody knew that Zlatan Ibrahimovic played with a badback," added Galliani. "If he had not played then maybe we may not have won. Risks are part of the game.
"As for Barcelona, we will be meeting the holders who are playing the best football in the world.
"We have not been at all fortunate in the draw but then neither have Barcelona. Milan have been used to facing these types of matches for many years and I am pleased when Milan battle.
"Last year we were in the battle for the title with Inter and this year it is Juventus. The opponents change but we are always there. Win, lose or draw it is important to stay the top club."
Guardiola, whose side trail Real Madrid by six points in La Liga, dismissed Milan's injury problems.
"If we are expecting Milan to play below their usual standard, then we're wrong," he said after the draw was made. "The fact that we did well in the group stage doesn't mean we are going to win this tie."
