Arsenal face a very tough test against Napoli while Chelsea will take on Slavia Prague in the UEFA Europa League quarter-finals.
Unai Emery's Gunners overturned a first-leg deficit to progress at the expense of Rennes on Thursday but will now have to get past Serie A's second-placed side if they are to progress to the last four.
An all-Premier League final in Baku remains a possibility after Arsenal and Chelsea, who will be wary of a Slavia Prague team who knocked out Sevilla in the previous round, were kept apart in the semi-final draw.
In the other quarter-final ties, Villarreal will go up against familiar foes in La Liga rivals Valencia, and Eintracht Frankfurt's reward for ending Inter's European campaign is a clash with Benfica.
Europa League quarter-final draw in full:
Arsenal v Napoli
Villarreal v Valencia
Benfica v Eintracht Frankfurt
Slavia Prague v Chelsea