Spurs face a reunion with Anderlecht, the team they beat in the 1984 final, while Everton's main threat is likely to come from Dutch side AZ Alkmaar.
Aberdeen must overcome Greek outfit Panathinaikos and Atletico Madrid.
But it is Bolton, with Portuguese side Braga and Red Star Belgrade joining Bayern, who face the stiffest test.
Each team will play two matches at home and two away with the group stage starting on 25 October and the top three going through.
They will be joined by eight third-placed teams from the Champions League groups for the knockout round.
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