Rubin Kazan took a narrow UEFA Europa League third qualifying round first leg lead home to Russia after beating Randers 2-1 in Denmark. Dmitri Torbinski and Salomon Rondon scored in the first half for the visitors, before Jonas Borring reduced the deficit.
Aleksey Antonov's late penalty sealed a miserable night for former European champions Red Star Belgrade as they slumped to a 3-1 defeat in Odessa.
Slavia Stojanovic's men were beaten 3-1 by Chornomorets, for whom Sito Rieira and Franck Dja-Djedje scored first-half goals and added their third from the spot after Vukan Savicevic had briefly reduced the deficit.
Brazilian striker Paulo Henrique scored the only goal of the game as Trabzonspor earned a hard-fought 1-0 first-leg win at Dinamo Minsk, despite seeing Gustavo Colman sent off in injury time.
Eredivisie side Vitesse Arnhem were pegged back by Petrolul Ploiesti in Romania, despite taking a second-half lead through a Jonathan Reis penalty. Frank van der Struijk levelled with an own goal six minutes from time.
Maccabi Haifa were held to a goalless draw by Ventspils in Latvia, while Polish side Lech Poznan fell to a surprise 1-0 defeat to Zalgiris in Lithuania, with Mantas Kuklys scoring the only goal.
Swans fly high
Swansea marked their return to Europe after a 22-year absence with a 4-0 drubbing of Malmo with club record signing Wilfried Bony scoring twice.
Côte d'Ivoire international Bony, signed for £12 million (€13.9 million) from Vitesse Arnhem ensured that the second leg of the third qualifying round in Sweden next week should be a formality.
Spanish star Michu, who scored 22 goals last season, opened the scoring in the 37th minute.
Bony grabbed a quickfire second-half double before fellow new recruit Alejandro Pozuelo rounded off the scoring.
"It was a perfect night for us. Four goals without conceding an away goal," said Swansea boss Michael Laudrup. "Two goals for one of the new men up front, Michu is back scoring a goal and Pozuelo got one on his debut. No injuries? A perfect night."
There were mixed fortunes for Scottish sides in the tournament.
St Johnstone, who put out experienced campaigners Rosenborg in the second round, won 1-0 at Minsk thanks to a Steven MacLean goal.
But Motherwell lost 2-0 at home to Kuban with Ivelin Popov scoring both goals for the Russians after the interval.