Arsenal qualified for the last eight after a thrilling comeback against Rennes, overturning a 3-1 deficit from the first-leg.
However, they have been dealt a tough draw against Serie A outfit Napoli, while the Blues have been handed a more favourable passage if they are to progress to the semi-final.
Meanwhile, the two other ties consist of Benfica up against Eintracht Frankfurt and LaLiga battle between Valencia and Villarreal.
Quarter-final draw in full:
Arsenal vs Napoli
Villarreal vs Valencia
Benfica vs Eintracht Frankfurt
Slavia Prague vs Chelsea
Semi-final draw in full:
Arsenal/Napoli vs Villarreal/Valencia
Slavia Prague/Chelsea vs Benfica/Eintracht Frankfurt
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