It will be the third time in three seasons that the two sides have met in the competition.
Barcelona booked their spot in the semis last night with a 4-2 win against Malaga, securing a 6-4 aggregate victory.
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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.