Manchester City have been drawn against Barcelona in the Champions League last 16 for a second consecutive year.
Chelsea will play Paris St-Germain, and Arsenal are up against Monaco in ties to be played in February and March.
Champions Real Madrid will face Schalke where Kevin-Prince Boateng plays, with last season's beaten finalists Atletico Madrid taking on Bayer Leverkusen.
Bayern Munich play Shakhtar Donetsk, Kwadwo Asamoah's Juventus face Borussia Dortmund and Basel are up against Porto.
Manchester City narrowly qualified, needing a final-day win over Roma to progress, but finishing second to Bayern Munich in their group has seen them come up against four-time European champions Barcelona.
In last season's first knockout game, the Catalans beat them 4-1 on aggregate.
Chelsea, who finished ahead of Schalke as group winners, are up against Paris St-Germain for the second consecutive year, having beaten the French champions in dramatic circumstances in last year's quarter-finals.
There is added interest in that game as Chelsea sold defender David Luiz to PSG for a reported £40m in the summer.
Arsenal, who finished below Borussia Dortmund in their group, come up against a side that were managed by Gunners boss Arsene Wenger from 1987 to 1994.
Monaco only scored four goals in their group but still finished top.