Schalke 04 scored twice after being reduced to 10 men to win 3-2 at PAOK and reach the Champions League group stage on Tuesday and there were dramatic playoff victories for Austria Vienna and Steaua Bucharest.
Arsenal, aiming for a 16th successive group stage appearance, outclassed Fenerbahce 3-0 in Istanbul to take control of their Champions League playoff tie as the five home teams failed to muster a win between them in Wednesday's first leg matches.
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Zenit St Petersburg condemned violence by their fans during the 4-1 defeat by Austria Vienna in the Champions League on Wednesday, saying the trouble-makers led to the Russian team's poor performance.
Borussia Dortmund fans will be offered tea and pies at Zenit St Petersburg on Tuesday but there will be no such generosity on the pitch with the Russians intent on reaching their first Champions League quarter-final.
Seven-times champions AC Milan, knocked out of the Champions League by Barcelona in the last two seasons, were drawn against the Catalans again in the group stage of this season's competition on Friday.
Paul Pogba repaid some of his world record transfer fee with two goals as Manchester United rediscovered their early-season shine, cruising to a 4-1 Europa League win over Fenerbahce to go top of their group on Thursday. Pogba scored a penalty and rifled United's third into the top corner. Anthony Martial also netted from the spot and Jesse Lingard fired home in the second half before former Old Trafford favourite Robin van Persie pulled one back for Fenerbahce. Inter Milan and AS Roma, though, had more testing evenings. Coach Frank de Boer breathed a sigh of relief when Inter survived an onslaught from Southampton to end a three-match losing streak with a 1-0 victory while Roma conceded twice late on to draw 3-3 at home to Austria Vienna.
AC Milan, Villarreal and Nice reached the knockout stage of the Europa League after posting wins on Thursday in the penultimate round of the group stage.
Chelsea reached the Champions League knock-out stage on Tuesday despite a 1-0 defeat by Basel in Group E after a late Mohamed Salah goal shocked the 2012 title winners, with Jose Mourinho saying they deserved to lose. Barcelona, without Lionel Messi but already into the last 16, went two goals down in Amsterdam but looked a different side in the second half after Ajax's Joel Veltman was sent off.
Fellow Serie A sides Atalanta and Lazio also won while Portugal's Vitoria Guimaraes began their match against Salzburg with not a single European player in the team.
Red Star, who won the European Cup in 1991 and reached the latter stages the following season, finished second in Group H behind Arsenal who crushed BATE Borisov 6-0.
Manchester United's woes deepened as stunning goals by Moussa Sow and Jeremain Lens gave Fenerbahce a 2-1 Europa League win on Thursday that left Jose Mourinho's side facing a battle to reach the knockout stages.
Barcelona and Atletico Madrid led a Spanish Armada into the Champions League last 16 with home wins on Wednesday and in-form Aaron Ramsey steadied Arsenal's boat with a battling win against rocky Borussia Dortmund.
Lionel Messi marked his first start after injury with a goal in Barcelona's 1-1 draw at AC Milan in the Champions League on Tuesday while Fernando Torres got two as Chelsea thumped Schalke and Atletico Madrid's charge continued.