Manchester United will face French side St-Etienne in the Europa League last 32, while Tottenham meet Belgian side Gent.
The two Premier League clubs could not be drawn together as teams from the same nation are kept apart.
The first legs will be played on Thursday, 16 February, with the return legs on Thursday, 23 February.
Tottenham, along with the other seeded teams, will be at home in the second leg.
Spurs were seeded after dropping down from the Champions League, while United were unseeded after finishing second in Group A.
But Jose Mourinho's side are still favourites to win the competition with most bookmakers.