Arsenal will play French side Rennes and Chelsea face Ukraine’s Dynamo Kiev in the last 16 of the Europa League.
Rennes are 11th in Ligue 1 while Kiev are second behind Shakhtar Donetsk in the Ukrainian Premier League.
The Premier League clubs avoided Serie A’s second and third-placed sides Napoli, who face FC Salzburg, and Inter Milan, who play Eintracht Frankfurt.
Sevilla face Slavia Prague and Celtic’s conquerors Valencia play FC Krasnodar.
Arsenal and Chelsea will both play at home in the first leg on 7 March with the return games a week later.
Europa League last-16 draw in full
Chelsea v Dynamo Kiev
Eintracht Frankfurt v Inter Milan
Dinamo Zagreb v Benfica
Napoli v FC Salzburg
Valencia v FC Krasnodar
Sevilla v Slavia Prague
Arsenal v Rennes
Zenit St Petersburg v Villarreal