The victory overcame a 4-1 deficit from the first leg and sends Roma to the semi-finals on away goals.
Kostas Manolas took the third with his head at the near post with eight minutes remaining.
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"But it is now when the supporters, coaches and players have to be more united than ever".
Italian Roma at the Stadio Olimpico defeated Barcelona for the first time made it to the semifinals of the Champions League.
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Sergio Busquets had no complaints as Barcelona were dumped out of the Champions League on Wednesday, stunned by a Roma side who the midfielder conceded were better in every way. "We have a good, competitive team, but we didn't see that today". To rescue Barcelona was about 15 minutes, however, Roma survived. He bullied his way past Gerard Pique into the area and then went to ground under a tug and a trip, allowing De Rossi to rattle home a penalty.
With time running out, Cengiz Under whipped in a cross towards the near post which Greece defender Manolas rose highest to meet and convert to spark jubilant scenes.
"And in the end, they got the result and we didn't. They could've scored two or three goals in the first half but it was 100 percent clear that if we win the ball we'd have an opportunity".
"Why shouldn't we believe?"
"The win is hard to describe". 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.
"It was great teamwork from the first to the last minute".
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United mounted its comeback in the second half. "Because the way he played is only possible when he's focused on the game". Sterling passed the ball to Gundogan, who spun away from Smalling and slammed it into the net at minute 30 for a 2-0 lead.
In short, even a single goal could've pushed Barcelona through.
"We will enjoy the semi-finals - I do not fear anyone".
Striker Dzeko also waxed lyrical about his side's tactics and said he played with more freedom alongside Patrik Schick in attack, with Radja Nainggolan, who missed the first leg with injury, behind them. It was not easy, but I stayed here for this kind of game.
And the 32-year-old hopes Roma can go all the way in the competition, adding: "I hope to the final!"
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