Tuesday 31 March 2015 12:33, UK
The eight teams booked their places on Thursday evening, and here's all you need to know about Friday's quarter-final draw.
Where: UEFA Headquarters, Nyon, Switzerland
When: Friday, 12pm GMT
Teams in the hat: Club Brugge, Dynamo Kiev, Fiorentina, Napoli, Sevilla, Wolfsburg, Zenit, Dnipro
Everton's exit at the hands of Dynamo Kiev means there is no English team in the quarter-final stage of European competition for the first time in 22 years.
Italy and Ukraine have two teams apiece still in the competition, while there's also representation from Belgium, Spain, Germany and Russia.
The quarter-final first leg will take place on Thursday, April 16, with the second leg on Thursday, April 23.
The team drawn first will play their first leg at home, and the draw will be open, meaning any teams can against each other.
The draw for the semi-final will take place on Friday, April 24, with the matches played on May 7 and May 14.
The final will be played on Wednesday, May 27 at the National Stadium in Warsaw.