The draw also pitched two former Spurs bosses together, with Fulham's Martin Jol coming up against Juande Ramos' Dnipro.
Stoke City were handed a trip to Switzerland to take on FC Thun, while League Cup holders Birmingham City, relegated from the Premier League last season, face Portuguese outfit Nacional.
Rangers, eliminated from the Champions League by Malmo in midweek, head to Slovenia to meet Maribor, while last season's runners-up in the Scottish Premier League, Celtic, travel to Switzerland where Sion lie in wait.
Draw in full:
Maccabi Tel Aviv v Panathinaikos
Atletico Madrid v Vitoria Guimaraes
Shamrock Rovers v Partizan Belgrade
Metalist Kharkiv v FC Sochaux
Besiktas v Alania Vladikavkaz
Rosenborg v AEK Larnaca
Vorskla Poltava v Dinamo Bucharest
Bursaspor v Anderlecht
AS Roma v Slovan Bratislava
Olimpiakos Volos v Paris Saint-Germain
Legia Warsaw v Spartak Moscow
Ekranas v Hapoel Tel Aviv
PAOK Salonika v Karpaty Lviv
Trabzonspor v Athletic Bilbao
Hearts v Tottenham Hotspur
Maribor v Rangers
Steaua Bucharest v CSKA Sofia
Nordsjaelland v Sporting Lisbon
Dnipro Dnipropetrovsk v Fulham
Lokomotiv Moscow v Spartak Trnava
Sion v Celtic
Slask Wroclaw v Rapid Bucharest
Litex Lovech v Dynamo Kiev
Lazio v Rabotnicki
Nacional Madeira v Birmingham City
PSV Eindhoven v Ried
FC Thun v Stoke City
Aalesunds v AZ Alkmaar
Vaslui v Sparta Prague
Omonia v Salzburg
Zestafoni v Bruges
Hanover 96 v Sevilla
HJK Helsinki v Schalke 04
Dinamo Tblisi v AEK Athens
Stade Rennes v Red Star Belgrade
Gaz Metan Medias v Austria Vienna
Braga v Young Boys
Standard Liege v Helsingborgs
Matches to be played on August 18 and 25. First named teams to play first legs at home.
