Elsewhere, Napoli lost 2-0 to Viktoria Plzen to go out 5-0 on aggregate, Lazio won by the same score against Borussia Moenchengladbach to secure their progress, and Zenit St Petersburg survived a Liverpool fightback to go through on away goals.
Bordeaux knocked out Dynamo Kiev, Newcastle overcame Metalist Kharkiv, Anzhi Makhachkala beat Hannover and Benfica knocked out Bayer Leverkusen.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.