The "Loba" squad arrived with a difficult task after having fallen by 4-1 at the Camp Nou, but finally achieved the historic comeback to their people.
Edin Dzeko was in charge of opening early the score when he defined a hand to hand against Ter Stegen in the 6 ' after a great pass by Daniele De Rossi, leaving with the slightest advantage at halftime.
During the complement a Barcelona without reaction was seen, so Roma took advantage of the impulse to go up on the scoreboard and the same De Rossi increased the numbers via penalty kick in the 57 '.
A few minutes from the end of the match, Kostas Manolas entered the area "Culé" for to head in the first suit and beat Ter Stegen in the 81 'putting the final 3-0 .
With the victory, those led by Eusebio di Francesco qualify for the semifinals of the most important club event in Europe for the second time in its history having previously achieved it in the 1983-1984 season.
For its part Barcelona got its third consecutive elimination in the key of the best eight after losing to Atlético de Madrid and Juventus in 2016 and 2017 respectively.
The rival of the Italian squad will be between Liverpool, which eliminated on this day Manchester City, and what happens in the duels this Wednesday between Real Madrid against Juventus and Bayern Munich with ] Sevilla .
AS Roma (3): Alisson Becker; Federico Fazio, Kostas Manolas, Juan Jesus; Alessandro Florenzi, Kevin Strootman, Daniele De Rossi, Radja Nainggolan (76 'Stephan El Sharaawy), Aleksander Kolarov; Patrik Schick (72 'Cengiz Under).
Barcelona (0): Marc Ter Stegen; Nélson Semedo (85 'Ousmane Dembelé), Gerard Piqué, Samuel Umtiti, Jordi Alba; Sergi Roberto, Ivan Rakitic, Sergio Busquets (85 'Sergio Busquets), Andres Iniesta (81' André Gomes); Lionel Messi, Luis Suárez
Goals : 1-0: 6 'Edin Dzeko, 2-0: 58' Daniele De Rossi, 3-0: 81 'Kevin Manolas (ROM)
Yellow Cards : 38 'Federico Fazio, 44' Juan Jesus (ROM); 57 'Gerard Piqué, 63' Lionel Messi, 72 'Luis Suárez (FCB)
Red Cards : There were no
Referee : Clement Turpin
Stadium : Stadio Olímpico de Roma