The draw for the preliminary round took place in Cannes, France,
on Wednesday, 2 July 1958. As
title holders, Real Madrid received a bye, and the remaining 27
teams were grouped geographically into three pots. The first
drawn team in each pot also received byes, while the remaining
clubs would play the preliminary round in September.
The calendar was decided by the involved teams, with all matches
to be played by 30 September.
Sofia and HPS received
withdrew due to international political issues, refusing to play
in Istanbul following
the long-standing tension between Turkey and Greece.
United had been invited to enter the competition by UEFA after
their campaign in the previous year's tournament was damaged by
air disaster. However, they finally refused to build a
campaign on that tragedy.
Göteborg beat Jeunesse Esch 51 in a play-off to qualify for the
Karl Marx Stadt beat Petrolul Ploieşti 40 in a play-off to
qualify for the first round.
04 beat KB 31 in a play-off to qualify for the first round.