Chelsea sealed their place in the last eight after overhauling a one-goal deficit against Borussia Dortmund and sealing a 2-0 win at Stamford Bridge.
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However, Tottenham failed to do the same after being knocked out by AC Milan while Liverpool were unable pull off the impossible against Real Madrid, losing 1-0 in the second leg and 6-2 on aggregate.
Manchester City are through after an 8-1 aggregate win over RB Leipzig thanks to five goals from Erling Haaland.
Elsewhere, Bayern Munich have secured a place in the quarter-finals as they sent Paris Saint-Germain home.
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And Inter Milan are also into the last eight after a 1-0 aggregate victory over Porto.
Champions League draw: Date and time
The quarter-final draw will take place on Friday, March 17.
The balls will be drawn at the House of European Football in Nyon, Switzerland.
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The draw for the semi-finals will also be made.
It is scheduled to begin at 11am UK time and talkSPORT will have full coverage of the draw.
It will also be available to stream for free on UEFA's website.
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Champions League draw: Qualified teams
Chelsea
Manchester City
Bayern Munich
Inter Milan
AC Milan
Napoli
Benfica
Real Madrid
Champions League draw: Who can play who?
There are no seeds in the quarter-finals or country protection.
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Therefore, Man City and Chelsea can be drawn against each other.
The semi-final draw will also be made, so the teams can map their potential road to Istanbul after making it through the round of 16.
Champions League draw: What are the key dates?
Quarter-finals: Draw on March 17 - ties to be played on April 11/12 and April 18/19
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Semi-finals: Draw on March 18 - ties to be played on May 9/10 and May 16/17
Final: June 10 at the Ataturk Olympic Stadium in Istanbul.