Rangers are at home to Galatasaray, kick-off 7.45pm, after thumping Willem II 4-0 in Holland in qualifying round three last week.
Their opponents at Ibrox saw off Hajduk Split 2-0 in the previous round and drew 0-0 with Fenerbahce at the weekend.
Celtic are in Bosnia to play Sarajevo, who they beat home and away in the Champions League qualifiers last season. Kick-off is 7.00pm and Neil Lennon's men go into the game on the back of six straight Premiership wins.
The draw for the Europa League group stage takes place at 12 noon on Friday, with matchday one to be played on Thursday October 22.