Liverpool have been eliminated from the 2020/21 Champions League after a scoreless draw with Real Madrid at Anfield.
Madrid advance to a semi-final meeting with Chelsea after beating Jurgen Klopp's Reds 3-1 in Madrid last week.
Liverpool made a bright start on Merseyside, with Mohamed Salah squandering a glorious chance in the opening minutes after being slipped through by Sadio Mane.
The Egyptian's low effort was saved by the legs of Thibaut Courtois.
Salah and Georginio Wijnaldum then passed up further big chances later in the half as the Premier League champions pegged Madrid back.
At the other end, Karim Benzema prodded a low effort off the post after a strong run into the Liverpool box.
Klopp introduced Thiago and Diogo Jota as Liverpool searched desperately for a way back into the tie, but Zinedine Zidane's La Liga giants showed all of their experience to see out a scoreless draw at an empty Anfield.
Manchester City have also advanced to the last four, where they will face French champions Paris Saint-Germain, after beating Borussia Dortmund 2-1 (4-2 aggregate) in Germany.
England teenage midfielder Jude Bellingham further announced himself on the big stage with an excellent curling strike to give the Bundesliga side the lead in the 15th minute after good work from Emre Can and then Erling Haaland.
Kevin De Bruyne then crashed a shot against the crossbar after breaking into the box, before Bellingham made a sublime block to divert Riyad Mahrez's low goal-bound effort from 12 yards behind for a corner.
Dortmund led 1-0 at the interval, with the aggregate score tied at 2-2.
Pep Guardiola's side earned a penalty in the 52nd minute when Emre Can was deemed to have handled Phil Foden's cross from the left. Mahrez stood up from 12 yards and dispatched the penalty with an excellent strike to the right top corner.
Mats Hummels then headed narrowly over from a free kick soon for Dortmund, while De Bruyne was denied by Dortmund goalkeeper Marwin Hitz after a mesmerising dribble into the box in the 74th minute.
City took the lead from the resulting corner, which was worked short to Foden 20 yards from goal.
The English playmaker took one touch before rattling a powerful low strike into the net via the inside of the near post.