Alexandre Pato's brace helped Milan grab a big three points for the visitors and Galliani beamed: "It was an immense suffering, as I was surrounded by Michel Platini, the Real President and a lady from Madrid.
"I bit my lip throughout and didn't even celebrate at Pato's winner, which is unusual for me!"
He continued: "It is absolutely the victory of our Coach, who had the courage to come and play in Madrid with three strikers and Seedorf. The credit goes to Leonardo.
"We have players of immense talent and it's no coincidence we do better in the Champions League, as it's in our DNA and above all every opponent plays and lets you play. That is what allows our talent to emerge."