'We knew it would be hard, but we had that little bit of belief.
Pallotta also paid tribute to Di Francesco for masterminding the victory with a tactical masterclass, and Roma's players for executing the game plan to perfection.
Roma forward Edin Dzeko opened the scoring when he beat the offside trap and latched onto a perfectly weighted through ball from Daniele De Rossi to score in the sixth minute, lifting the hopes of the boisterous home fans in the Olympic Stadium.
Roma became the third club in the history of the Champions League after Deportivo and Barcelona, who managed to overcome the round of the knockout stage of the tournament after losing their first match with a difference of three goals. Knowing we had to come into this win 3-0, if they scored then we'd need five, it was incredible.
La Liga leaders Barca have now exited Europe in the last eight in each of the last three seasons since they won the competition in 2015.
"They are a top team with a top manager and I would say they deserve to be in the final".
In today's other match Mohamed Salah's remarkable run of goals continued to help send Liverpool into the last four as Jurgen Klopp's side came from behind for a 2-1 win at Premier League rivals Manchester City and a 5-1 aggregate triumph. "But when you don't do things well, when you make a lot of mistakes and when you don't adapt to the game, this happens". "We had a great opportunity and we didn't seize it". Barcelona had a comfortable lead from the first leg and consequently, were effortless on the ball throughout the first half of the match.
The Italians spectacularly took the lead from a the spot-kick as Dzeko was brought down in the box by Pique and the referee points to the spot for a penalty brandishing yellow card.
De Rossi confidently struck the spot kick inside the right post and even though Ter Stegen leaped in the right direction the goalkeeper had no chance.
However with just 7 minutes left, Manolas met another fizzing Aleksandar Kolarov corner with an unsaveable header, sparking wild celebrations on and off the pitch.
It was De Rossi's first Champions League goal since October 2015.
Valverde waited until the final 10 minutes to use all three of his substitutions.
"It's another negative experience, I would be lying if I said it could serve for something because last season we went out in a similar way, albeit in the first leg, not the second", Busqets added.