Real Madrid through to the semi-final after beating Liverpool 3-1 on aggregate, it finishes goalless on the night.
Liverpool had some great chances to get themselves back into the tie, with Salah denied by Courtois in the second minute.
Milner and Firmino also saw efforts well saved by the keeper. The damage was done in the first leg and Madrid were defensively solid throughout today to see out the tie.
Courtois saved well from Roberto Firmino, Salah took too long in the penalty area.
Diogo Jota, sent on as a substitute with Thiago, saw a shot deflected into the side-netting, while the outstanding Eder Militao, Sergio Ramos’ deputy, blocked from Firmino.
In the end it was a bridge too far, even for Liverpool.
There was to be no Anfield miracle for Jurgen Klopp’s men. For the second season running they exit the Champions League at the hands of a team from Madrid, having failed to overturn a first-leg deficit on home soil.
That was where the damage was done. How Klopp will regret the way his side started that game; passive, nervous, disorganised. How he will rue the way, having clawed their way back into the tie through Mohamed Salah’s away goal, they ceded control so quickly.
A 2-1 loss was manageable, but 3-1 was a killer, especially with no 12th man to roar them on back at Anfield.
So it proved, with Real able to withstand the inevitable second-leg onslaught, and Liverpool unable to convert dominance into goals.
Madrid will meet Chelsea in the semi-final, with the first leg taking place two weeks from now. Their attention turns back to the LaLiga title race now and their match against Getafe at the weekend.
Liverpool’s Champions League run is over and next up for them is Leeds United in the Premier League on Monday.