Kukes have regularly played in the less prestigious UEFA Europa League qualification campaign in the past four years.
They will each discover which first-round match they are due to face the winners of, while Northern Ireland's Linfield and Welsh club The New Saints, both seeded, are waiting to find out their first-round opponents.
Fellow Scottish Premiership side St Johnstone will face FK Trakai of Lithuania in their tie, also at home in the first leg.
Rangers will play Progres Niederkorn of Luxembourg in the Europa League first qualifying round.
Skenderbeu, whose six-year domination of Albanian football came to an end only this year when they finished third, will face an easy test against Andorra's Sant Julia in the first qualifying round. They lost 3-0 on aggregate to Shamrock Rovers in the 2015/16 Europa league.
If Rangers are able to navigate their way through the Europa League qualifiers to the group stage of the competition, it would hand the club a big financial boost as they seek to close the gap to Celtic.
The first leg of the first qualifying round will take place on June 29, with the return leg the following week.