AC Milan boss Massimiliano Allegri felt his side had deserved to progress after the stalemate at Tottenham ended their Champions League campaign.
A 1-0 victory for Spurs at the San Siro, courtesy of a late counter-attack, proved decisive as Milan were unable to find a way through in the 0-0 draw at White Hart Lane.
"The team put in a fine performance tonight and I think over the two legs we deserved to go through," Allegri said. "Unfortunately, that mistake in the first leg cost us dearly.
"This evening my Milan did everything it possibly could, showing intensity and technique. We only lacked something in the finishing.
"We created the chances with Robinho and Alexandre Pato, so there was nothing more we could do and I have to compliment these lads. This performance must give us more confidence going back into the Serie A race, as we have been improving for a while now.
"I still cannot be satisfied, as there is a great deal of bitterness at going out, but I am comforted by the way my lads fought."
Zlatan Ibrahimovic struggled to provide a meaningful threat to the Spurs defence over the two legs but felt he had performed well.
"Over two legs Tottenham had one shot on goal and scored," he said. "The best team doesn't always win.
"I am satisfied with my performance and everyone in the team played well. I tried to score, but the ball would not cross the line. It's a shame we went out of the Champions League, but we still have the Scudetto and Coppa Italia to focus on."
Mathieu Flamini added: "We were here to earn qualification and it did not arrive, so we are sad, as we gave our all and the goal did not come.
"It's a shame, but that is football. We spent the entire match in Tottenham's half, looking for the goal. Everyone saw we played a great game with the right spirit.
"Now we must focus on Serie A and the race for the Scudetto. The Champions League was one of our objectives and we gave it our all, but now we will think about the title."