Jurgen Klopp's Liverpool, having secured a 3-0 victory at Anfield last week, were 2-1 winners in the second leg too as they reached the first ever semi-finals in 10 years, thanks to goals from in 10 years as Mohamed Salah and Roberto Firmino at the Etihad stadium.
Roma entered the match as massive underdogs after losing the first leg 4-1 to the side favored to win the whole competition.
Rossi stepped up to score a penalty, whereas a header by Manolas in the 82nd minute completed the remarkable comeback.
The Barcelona strikers Lionel Messi along with Luis Suarez scarcely threatened as Roma dominated possession for long stretches and stifled the Catalan club using higher stress. We have to try and win them because we have not won anything yet.
"There will be hard games ahead but we will concentrate on winning what we can still do as so far we have won nothing".
Roma caused one of the biggest shocks in modern European football history this evening by knocking Barcelona out of the Champions League - and Chelsea fans were pretty frustrated watching it. A solitary goal from the Blaugrana would've required Roma to respond with 4 of their own to take the game to extra time, and 5 to win - something that may have well been next to impossible for the Romans. This wonderful goal that we served them on a plate.
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Ronaldo got the opener before the five-time Balon d'Or victor struck with an incredible overhead kick later on. Real won the first leg 3-0 in Turin, with Ronaldo scoring twice, including an excellent bicycle kick.
Bernado Silva hit the post, and Leroy Sane had a goal incorrectly ruled out for offside during the game, but Liverpool fully deserved to move into the semi-final stage of the Champions league.
Roma trailed 4-1 going into the second leg but goals from Edin Dzeko, Daniele De Rossi and Kostas Manolas helped them turnaround the tie at the Stadio Olimpico as they reached the semifinals via away goals.
Captain De Rossi rifled the ball beyond Ter Stegen to double Roma's advantage and the home side were not finished there.
The referee didn't immediately point to the spot but then showed a yellow to Pique and awarded the penalty.
"We had enough experience on the pitch to solve things", the manager said, before adding: "I thought".
Barca finally came out of their shells as Roma tried to hold on to the result, but the hosts held on brilliantly to see the result out and go through to the semis for the first time since 1984, when they lost the final at home to Liverpool, Tuesday's other victors. Of course we regret it for us, but especially for our fans, the people that we represent.
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