Bosnia’s Edin Dzeko started Roma revival in the 6th minute and in the second half, De Rossi scored via a penalty and Manolas completed the coup de grace with a stunning header in the 82nd minute.
Roma staged a stunning comeback from 1-4 in the first leg of the UEFA Champions quarter final pairing with Barcelona to beat the former champions and the Spanish leaders 3-0 and qualify for the semi-finals on goals aggregate.
The unexpected turnaround turned the fans at Stadio Olimpico into wild jubilation.
Liverpool at Etihad Stadium completed their demolition of Manchester City, cruising to the semi-finals on 5-1 goal aggregate, after surviving a nightmarish first half, in which City scored their only goal in two minutes.
The victory marked the first time since 2008 that Liverpool would qualify for the semi-final of the competition.