The draw for the Europa League Round of 16 was conducted on Friday.
Manchester United, that saw off Real Sociedad, will take on AC Milan for a place in the quarter-final.
Arsenal will meet Olympiakos that eliminated them last season.
Ajax clash with Young Boys and Tottenham Hotspur have been paired with Dinamo Zagreb.
The round of 16 first legs are scheduled for Thursday, March 11.
The second legs will be played a week later on March 18.
FULL DRAW:
Ajax vs Young Boys
Dynamo Kyiv vs Villarreal
Roma vs Shakhtar Donetsk
Olympiakos vs Arsenal
Dinamo Zagreb vs Tottenham
Manchester United vs AC Milan
Slavia Prague vs Rangers
Granada vs Molde