A total of 16 teams have secured safe passage to the last eight of each competition, with the Europa League last-16 clashes coming to an end just one day prior to the draw on Friday.
Here, Goal takes a look at everything you need to know ahead of the Champions League and Europa League draws for the quarter-finals.
When is the Champions League quarter-final draw?
The Champions League quarter-final draw will take place Friday, March 16 at 11:00 GMT (06:00 ET) .
The first legs will be played on April 3 and 4, with the return legs taking place a week later on April 10 and 11.
How does the Champions League quarter-final draw work?
Unlike previous draws, there are no restrictions on which clubs can draw one another.
Which teams are in the Champions League quarter-finals?
Joining Real in the last eight of the competition will be Premier League duo Liverpool, whose 5-0 victory at Porto in the first leg of their double-header was enough to see them through, and Manchester City, who progressed past FC Basel with an aggregate score of 5-2.
On Wednesday, Barcelona were inspired by Lionel Messi's double in seeing off the challenge of Chelsea, sealing a 4-1 aggregate victory at Camp Nou.
There were no surprises, meanwhile, in Istanbul, as Bayern completed an 8-1 drubbing of Besiktas to advance once more.
When is the Europa League quarter-final draw?
The Europa League quarter-final draw will be made at 12:00 GMT (07:00 ET) on Friday, March 16.
The first leg of the quarter-final ties will take place on Thursday, April 5, with the reverse fixtures to be played a week later on Thursday April 12.
Which teams are in the Europa League quarter-finals?
Borussia Dortmund, however, were not so lucky, falling in a big upset at the hands of Austria's RB Salzburg; their neighbours, and fellow Red Bull side, RB Leipzig kept the German flag flying by seeing off Zenit.
Curiously, the eight quarter-finalists hail from eight different nations, while only four countries will be on display in the Champions League quarter-finals.