
Arsenal will face Atletico Madrid in the semi-finals of the Europa League while Marseille will play Austria's FC Salzburg.
Speaking after Thursday's match in Moscow, when at one point Arsenal had been a goal away from elimination, manager Arsene Wenger admitted he would prefer to avoid Atletico.
The first legs will be played on April 26, with the return games on May 3. The London side won 6-3 on aggregate.
Costa was taken off early in the second half against Sporting Lisbon on Thursday as Atletico booked their place in the last four of the competition with a 2-1 aggregate victory.
Arsenal will need no introduction to former Chelsea strikers Diego Costa and Fernando Torres, while Antoine Griezmann has the potential to be a serious thorn in their side.
Ultimately, the victor of this season's Europa League will qualify for next season's UEFA Champions League.
Marseille, for whom captain Dimitri Payet was inspirational in their comeback 5-3 aggregate win against RB Leipzig in the quarter-finals, are now fourth in Ligue 1.
A European club record 58,897 turned out to roar them home in the second leg against Leipzig on Thursday.