The remaining teams, made up of three Spanish sides, two each from England and Italy, and one from Germany, find out their fate on Friday.
Lowdown on the Uefa Champions League quarter-final draw and when to watch it UAE time
The draw for the quarter-finals of the Uefa Champions League takes place on Friday in Zurich at 3pm UAE time.
Eight teams are remaining in the competition following the completion of the last 16, which ended on Wednesday night as Barcelona and Bayern Munich both qualified.
Defending champions Real Madrid are bidding to be the first side since Bayern (1974-76) to win the tournament three successive years.
Here is a rundown on the remaining sides and how they have got to this stage.
Top of Group E
Last 16 Beat Porto 5-0 on aggregate
Top of Group F
Last 16 Beat Basel 5-2 on aggregate
Second in Group H
Last 16 Beat Paris-Saint Germain 5-2 on aggregate
Second in Group D
Last 16 Beat Tottenham Hotspur 4-3 on aggregate
Second in Group E
Last 16 Beat Manchester United 2-1 on aggregate
Top of Group C
Last 16 Beat Shakhtar Donetsk on away goals after tie finished 2-2 on aggregate
Top of Group D
Last 16 Beat Chelsea 4-1 on aggregate
Second in Group B
Last 16 Beat Besiktas 8-1 on aggregate
The first leg of the quarter-finals takes place on either April 3/4, with the return leg a week later on April 10/11
The semi-finals are due to be held on April 24/25 and on May 1/2 with the final on May 26 at the NSC Olimpiyskiy Stadium in Kiev in the Ukraine.
The winners of the tournament will also qualify to compete in Abu Dhabi in December at the 2018 Fifa Club World Cup, which for the second successive year is being held in the UAE.