"I am very happy with what the lads did. This is the right reward that they deserved, as it's not easy to reach the Champions League semi-final and especially to play against Real Madrid," Allegri told Sky Sport Italia.
"We played with great intensity and allowed Real Madrid very little, but could've done better in the pace of creating our play in the first half.
"It's a shame, as we could've done better with the Llorente chance, but I'd have been happy beforehand to get a win over Real Madrid.
"Now we can prepare for a week and can fight it out in Madrid."