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United sealed their route into the last 16 with a 4-0 aggregate win over Real Sociedad, while AC Milan overcame Red Star 3-3 on away goals.
It means Zlatan Ibrahimovic will be returning to Old Trafford, where he won the Carabao Cup and Europa League in 2017.
Other standout ties will see Arsenal take on Olympiakos as well as Rangers face Slavia Prague.
:trophy: AC Milan await in the #UEL last 16...
What do you make of that draw? :point_down:#MUFC
- Manchester United (@ManUtd) February 26, 2021
Check out the entire draw below:
Manchester United vs AC Milan
Olympiakos vs Arsenal
Dinamo Zagreb vs Tottenham
Slavia Prague vs Rangers
Ajax vs Young Boys
Dynamo Kiev vs Villarreal
Roma vs Shakhtar Donetsk
Granada vs Molde
Zlatan will be coming back to Old Trafford to get his revenge on Eric Bailly pic.twitter.com/PQA5vvHJOB- Footy Humour (@FootyHumour) February 26, 2021
Zlatan vs Lindelof in the air :sob::sob::sob:- StatmanBains (@StatmanBains) February 26, 2021
Ibrahimovic became a popular figure at United and admitted in 2018 he wishes he'd joined the club sooner.
He explained to United's official website: "I feel sorry for the fans - if they'd seen me younger, they'd have seen a different lion.
"For the Premier League, it would have been dangerous, as I would have eaten them for breakfast; instead, I took them for lunch. But I came: they wanted me, I gave them me and I took over. Been there and done that."
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