Everton avoided the competition's big guns but will face Blackburn's conquerors, Larissa of Greece.
The top three teams qualify from each group, where they will be joined in the Round of 32 by eight teams eliminated from the Champions League group stage.
The opening group-stage matches will be held on Thursday, October 25.
Draw in full:
Group D: Basle, Hamburg, Rennes, Dinamo Zagreb, Brann.
Group F: Bayern Munich, BOLTON, Braga, Red Star Belgrade, Aris Salonika.