Rangers will face both Manchester United and Tottenham in the new-look league phase of the Europa League.
The Scottish Premiership side will play Spurs at Ibrox, with the Red Devils welcoming Rangers to Old Trafford for their first meeting in 14 years.
Each team plays eight fixtures in the ‘league phase’, with this year’s men’s tournament following the Champions League in having a radical change, including the end of a group stage.
United will travel to Fenerbahce to reunite with former boss Jose Mourinho, while they also play Mourinho’s old side Porto away.
Tottenham host Roma, with away games against Galatasaray and Hoffenheim.
Rangers’ other fixtures include a difficult trip to last season’s Europa Conference League champions Olympiakos and French side Nice.
The hi-tech draw followed the same format as Thursday’s Champions League draw, but this time it was former Athletic Bilbao striker Aritz Aduriz replacing Cristiano Ronaldo to press the all-important button.