Southampton have been handed a tough tie against Romanian outfit Steaua Bucharest as they return to Europe after a 19-year absence.
Gordon Strachan's side were rewarded for their run to the last season's FA Cup final with a clash against the former European champions in the first round of the UEFA Cup.
Barclaycard Premiership rivals Liverpool, who won the UEFA Cup in 2001, were handed a tie against the Slovenian outfit who saw off Shelbourne in the qualifying round, Olimpija Ljubljana.
Newcastle, in the competition after losing to Partizan Belgrade in their Champion League qualifier this week, will play NAC Breda of Holland.
Blackburn, as the only British side drawn away in the first leg, face a trip to Ankara in Turkey to face Gencleberligi, while the other Premier League side in the draw, Manchester City, were paired with Lokeren of Belgium.
Bank of Scotland Premier League side Dundee face a tough task against Italian club Perugia, who hit the headlines this summer when they signed Saadi Gaddafi, the midfielder who is son of the Libyan president Colonel Muammar Gaddafi.
Hearts will face NK Zeljeznicar of Bosnia, who were beaten by Newcastle in a Champions League qualifier last year.