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Liverpool earned a first-leg away win at Hoffenheim while CSKA needed a fortunate own goal to edge Young Boys.
Romanian side Steaua Bucharest have officially changed their name to FC FCSB following a dispute with the Romanian military.
Manu Trigueros scored a superb late winner as Villarreal reached the Europa League knockout stages with a nervy 2-1 victory over 10-man Steaua.
In perhaps his final Man City appearance, Joe Hart wore was named captain, kept a clean sheet and led his side to the Champions League group stage.
Manchester City advanced to the group stage of the Champions League with a 6-0 aggregate defeat of Steaua Bucharest after winning 1-0 on Wednesday.
Reasons for a "tifo" reading "Only Dinamo Bucharest" at the Steaua Bucarest-Man City match are unclear.
Willy Caballero started for Manchester City once again, while Raheem Sterling shone in Pep Guardiola's first Champions League win with the club.
Manchester City made light work of Steaua Bucharest by winning 5-0 in Romania to put one foot in the Champions League group stage.
Man City XI: Caballero; Zabaleta, Otamendi, Stones, Kolarov; Fernandinho, Silva; Nolito, De Bruyne, Sterling; Aguero
Steaua Bucharest boss Laurentiu Reghecampf believes he can get the better of Pep Guardiola to secure Champions League qualification.
City travel to Romania for the first leg on Aug. 16, with the return at the Etihad on Aug. 24 and a place in the group stage at stake.
Shakhtar Donetsk, Olympiakos and Fenerbahce all crashed out of the UEFA Champions League in the third qualifying round on Wednesday.
Steaua Bucuresti: Nicolae Stanciu scores twice as club reach playoff round with 3-1 aggregate win over Sparta Prague
Shakhtar Donetsk began their Champions League campaign with a 2-0 win over Young Boys in the third qualifying round on Tuesday.
UEFA has barred Steaua Bucuresti coach Mirel Radoi from the technical area at all European club competitions until he is qualified.
Celtic eased past Stjarnan in their Champions League second-leg qualifier, while Astana upset Maribor to progress through to the next round.
Two of last season's Champions League group-stage underdogs got off to a rough start in the first leg of the second qualifying round on Tuesday.
Before the fall of communism, Dinamo and Steaua were European forces. Nick Ames went to the latest Bucharest derby and found that times had changed.
Arlauskis, 27, will move to Vicarage Road after winning the Romanian title with Steaua this season.
Officials at defence ministry allow Steaua an extra week to use name after court ruling says club, established as army side in 1947, have lost their right to use military identity.