Real Madrid were disappointing in the first half at the Stadio Olimpico.
Los Blancos failed to register a shot on goal during the opening 45 minutes, a rarity for Real Madrid in the Champions League.
In the second half, it was a different story, although Roma did do some attacking themselves and were a tad unfortunate not to win a penalty.
Cristiano Ronaldo opened the scoring on 57 with a great strike into the far corner. Jese made it 2-0 late on, to all but secure Real Madrid’s place in the next round.