The Reds qualified for the Last 16 after knocking Bundesliga outfit Augsburg out of the Europa League Round of 32.
Germany international of Turkish origin Emre Can will embark on his first Last 16 clash since joining the Reds from Bayer Leverkusen.
Liverpool crashed out of the competition in the Round of 32 stage last season after being knocked out against Turkish Super League side Beşiktaş.
Manchester United booked a place in the Last 16 after beating Midtjylland 5-1 yesterday at Old Trafford to go through 6-3 on aggregate.
The full Europa League League draw is as follows:
Fenerbahce v Braga
Valencia v Athletic Bilbao
Sparta Prague v Lazio
Shakhtar Donetsk v Anderlecht
Liverpool v Manchester United
Tottenham v Borrussia Dortmund
Basel v Sevilla
Villarreal v Bayer Leverkusen