Bayern Munich and Liverpool, both five-time European champions, will meet in the Champions League round of 16 in one of three England-Germany clashes, while Manchester United will face PSG following the draw made at UEFA headquarters in Nyon on Monday.
English champions Manchester City will take on Schalke 04 and Tottenham Hotspur will face Borussia Dortmund in the other clashes between the Premier League and the Bundesliga.
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Meanwhile holders Real Madrid will face four-time winners Ajax Amsterdam, who have reached the knock-out stages for the first since 2005-06.
In other ties, Serie A champions Juventus face Europa League winners Atletico Madrid and Barcelona take on Olympique Lyonnais, while AS Roma face Porto.