The Rossoneri chief has guaranteed that his side will give Barca a run for their money and stated that a solution to Pato's fitness problems has been found
The Serie A champions locked horns with Barca during the group stage, securing a 2-2 draw at Camp Nou before suffering a 3-2 defeat to the Catalan side at San Siro.
The first leg of the last-eight tie between the two clubs ended in a goalless draw, but Galliani has said that Barca will not find qualification gift-wrapped.
"We travel to Barcelona to play for a place in the semi-finals," Galliani told reporters. "Barca struggled against us in the last three matches."
The Milan chief then revealed that he is hopeful that Alexandre Pato has finally put his fitness problems behind him as the Brazilian striker has been named in the squad for Tuesday's match.
"We will see how tonight's training session goes, then the coach will be the one to decide," Galliani said.
"I am not a doctor, but [Milan medic] Jean Pierre Meersemann told me that they found a definite solution to his problem in the United States."