Two-time champion Sevilla will face Mladost of Montenegro or Senica of Slovakia in the third qualifying round of the Europa League.
Sevilla, which won the UEFA Cup in 2006 and '07, plus Swansea, Stuttgart and Udinese were in Friday's draw as Europe's top-ranked leagues joined the competition.
English League Cup winner Swansea begins against former European Cup finalist Malmo or Scottish club Hibernian .
Stuttgart was paired with Zrinjski of Bosnia-Herzegovina or Botev Plovdiv of Bulgaria. Udinese will play Pavlodar of Kazakhstan or Siroki Brijeg of Bosnia.
Bursaspor of Turkey should play Vojvodina of Serbia or Honved of Hungary, though it could be upgraded to the Champions League if Fenerbahce is expelled for match-fixing.
Third Round Qualifying draw:
Levadia Tallinn / Pandurii Targu-Jiu vs. Beroe/ Hapoel Tel-Aviv
Tromso / Inter Baku vs. FC 03 Differdange / FC Utrecht
Motherwell vs. Kuben Krasnodar
Jablonec vs. Stromsgodset / BK Hacken
FK Qarabag / Piast Gliwice vs. Anothosis Famagusta/ Gefle IF
Rijeka / Prestatyn Town vs. Olimpija Ljubljana / MSK Zilina
Asteras Tripoli vs. Rapid Vienna
Zrinjski Mostar / Botev Plovdiv vs. VfB Stuttgart
Estoril v Hapoel Ramat Gan
Vojvodina / Budapest Honved vs. Bursaspor / Skoda
Xanthi v / Linfield vs. KR Reykjavik / Standard Liege
Sparta Prague / BK Hacken vs. FC Thun / Chikhura Sachkhere
Valletta / Minsk vs. Rosenborg / St Johnstone
Chornomorets / FC Dacia vs. Crvena Zvezda / IBV Vestmannnaejar
Irtysh / Siroki Brijeg vs. Udinese
FK Ventspils / Jeunesse Esch vs. Maccabi Haifa / Khazar Lenkoran
Dinamo Misk / Lokomotiva Zagreb vs. Trabzonspor / Derry City
Slask Wroclaw / Rudar Pljevlja vs. Club Brugge
IFK Goteborg / AS Trencin vs. FC Astra Giurgiu / Omonia Nicosia
Swansea City vs. Malmo / Hibernian
Petrolul Ploiesti / Vikingur vs. Vitesse
Skonto FC / Liberec vs. FC Zurich
Hodd / Aktobe vs. Breidablik / SK Sturm Graz
Randers FC vs. FK Jagodina / Rubin Kazan
VMFD Zalgiris / Pyunik vs. FC Honka / Lech Poznan
Hajduk Split / FK Turnovo v Dila Gori / AaB
FK Kukesi / FK Sarajevo vs. Metallurg Dontesk
Sevilla vs. Mladost Podgorica / Senica
AS Saint-Etienne vs. Shakhtyor / Milsami
Matches will be played on 1st and 8th August