Rangers have a one-in-five chance of being handed a reunion with Europa League conquerors Progres Niederkorn in this season’s competition.
The Luxembourg side are among five potential opponents for Steven Gerrard’s first competitive match in charge.
The part-timers beat Rangers 2-1 on aggregate in the first qualifying round last season.
UEFA has published the groups which the first-round ties will be picked from in Wednesday’s draw.
Rangers could face Progres, Siroki Brijeg, Macedonian side Shkupi, Stumbras of Lithuania or Slovakians Dunajska Streda.
Aberdeen beat Siroki Brijeg of Bosnia and Herzegovina 2-0 away from home last season after a 1-1 draw at Pittodrie.
Like Rangers, Hibernian are seeded, but they have seven potential opponents, including Welsh side Bala Town, who face Tre Fiori of San Marino in the preliminary round. Other possible foes include Levadia Tallinn, IBV of Iceland, KuPS of Finland, Latvian side Liepaja and NSI Runavik of the Faroe Islands.
Coleraine and Derry City are in the same group but cannot face each other as both are unseeded. Potential opponents include Gornik Zabzre of Poland and Dinamo Minsk of Belarus.
Cliftonville, Shamrock Rovers and Connah’s Quay are all unseeded in the same group with Swedes AIK and Hafnarfjordur of Iceland among the teams they could face.
Burnley and Aberdeen enter at the second qualifying round, which will also be drawn on Wednesday.