Olympiakos edged Juventus 1-0 on Wednesday night in Piraeus after a first-half goal from Pajtim Kasami.
Borussia Dortmund maintained their perfect start to their Champions League campaign with a comprehensive 4-0 victory over Galatasaray in Group D.
Bayer Leverkusen boosted their hopes of advancing from Champions League Group C on Wednesday night with a 2-0 victory over previously unbeaten Zenit St Petersburg.
Monaco and Benfica played out a goalless Champions League Group C draw at the Stade Louis II on Wednesday.
Yordan Minev's last-gasp strike lifted Ludogorets to a famous Champions League victory over 10-man Basle.
Bayern Munich struck five times in the first half en route to a 7-1 demolition of hosts Roma on Tuesday to make it three wins out of three in Group E of the Champions League.
Lionel Messi drew level with fierce rival Cristiano Ronaldo in the race to become the Champions League's all-time top goalscorer as Barcelona warmed up for El Clasico with a 3-1 victory over Ajax.
Eric Maxim Choupo-Moting scored a 92nd-minute penalty to earn Schalke a 4-3 win after they had surrendered a two-goal lead at home to 10-man Sporting Lisbon on Tuesday night.
Shakhtar Donetsk's Luiz Adriano became the first player to score four goals in the first half of a Champions League game when he netted against Belarusian minnows BATE Borisov on Tuesday night -- with the game 6-0 at half-time.
Didier Drogba scored his first Chelsea goal since his decisive strike in the 2012 Champions League final as the Premier League leaders thrashed Maribor 6-0 at Stamford Bridge to strengthen their position at the top of Group G.
Edinson Cavani handed Paris St Germain a dramatic late 1-0 victory in Cyprus as APOEL were denied a hard-earned point.
Manchester City surrendered a two-goal lead as they again stuttered on the Champions League stage, drawing 2-2 amid more controversy at CSKA Moscow.
Substitute Adrian Ramos ensured Borussia Dortmund maintained a perfect start to their Champions League Group D campaign by sealing victory at Anderlecht.
Bayer Leverkusen turned in an impressive performance to open their account in Champions League Group C and leave Benfica staring an early exit in the face.
Real Madrid avoided the embarrassment of losing to minnows Ludogorets in the Champions League on Wednesday night.
Liverpool became the latest big-name English scalp to be claimed by Basel who capitalised on the Reds' well-known vulnerability at set-pieces.
Markus Rosenberg's brace gave Malmo a famous 2-0 victory over Olympiacos in their Champions League Group Group A encounter at Swedbank Stadion on Wednesday.
Arda Turan struck in the second half to inflict Juventus' first defeat of the season and get Atletico Madrid's Champions League Group A campaign up and running on Wednesday evening.
Substitute Yannick Carrasco came closest to snatching victory as Monaco emerged from their trip to Zenit St Petersburg with a point after a 0-0 draw.
Danny Welbeck plundered a hat trick as Arsenal got their Champions League campaign up and running with a 4-1 victory over Galatasaray at the Emirates Stadium.
Paris St Germain shrugged off the absence of Zlatan Ibrahimovic to inflict a first defeat on Barcelona under their new coach Luis Enrique with a thrilling 3-2 victory at the Parc des Princes.
Roma's Francesco Totti became the oldest goalscorer in Champions League history as Manchester City escaped with a draw from their Group E clash.
Porto substitute Jackson Martinez scored two last-gasp goals to rescue a 2-2 Champions League draw against Shakhtar Donetsk in Lviv.
Schalke and Maribor each picked up their second 1-1 draw of the current Champions League campaign at the Arena AufSchalke on Tuesday night.
BATE Borisov produced a surprising - but deserved - 2-1 win over faltering Athletic Bilbao in the first Champions League game at the Borisov Arena.
Nemanja Matic's first-half header was enough for Chelsea to record a first victory of Champions League Group G, but it should have been so much more comfortable than a 1-0 win at Sporting Lisbon.
Ajax's stuttering start to their Champions League campaign continued with a frustrating 1-1 draw at APOEL.
Bayern Munich made it two wins out of two in the Champions League this season, although they were made to work hard for a 1-0 win at CSKA Moscow.
Former Manchester City defender Jerome Boateng struck a superb late winner as Bayern Munich finally beat Joe Hart to secure a 1-0 win in their Champions League opener.
Roma opened their Champions League Group E campaign in style with a 5-1 mauling of Russian side CSKA Moscow at the Stadio Olimpico.
Cristiano Ronaldo scored from a free kick to help Real Madrid beat Gremio 1-0 and claim the Club World Cup in Saturday's final in Abu Dhabi.
Gareth Bale was the surprise hero as Real Madrid survived a shock against outsiders Al Jazira to win 2-1 in Wednesday's extra dramatic Club World Cup semifinal in Abu Dhabi.
Reigning champions Real Madrid will face Paris Saint-Germain in the Champions League round of 16, while Chelsea take on Barcelona.
Real Madrid star Cristiano Ronaldo won the fifth Ballon d'Or of his career on Thursday, matching Lionel Messi as the most-awarded winner of one of the sport's top individual honours.
A scintillating display of football from Liverpool's Fab Four saw Jurgen Klopp's side blaze their way into the Champions League knockout phase with a 7-0 victory over Spartak Moscow.
Manchester City slumped to their first defeat of the season with a 2-1 loss to Shakhtar Donetsk in their final Champions League Group F game.
Fernando Llorente and Georges-Kevin Nkoudou scored their first goals for Tottenham goal as Spurs strolled into the Champions League round of 16 by beating Apoel Nicosia.
Cristiano Ronaldo became the first player to score in every Champions League group stage match as Real Madrid beat Borussia Dortmund 3-2 at the Bernabeu.
Feyenoord finally secured their first points in Champions League Group F, rallying from a goal down to beat Napoli 2-1 on Wednesday, costing the Serie A side a spot in the round of 16.
Sevilla qualified for the round of 16 of the Champions League with a 1-1 draw at Maribor on Wednesday.
Ten-man Porto advanced out of Group G with a 5-2 defeat of a disappointing Monaco side, who also went down a man at the Estadio do Dragao.
RB Leipzig's Champions League debut ended in a 2-1 home loss to Group G winner Besiktas on Wednesday.
Bayern Munich got a little payback against Paris Saint-Germain with a 3-1 win at the Allianz Arena on Tuesday night in Group B.
Juventus secured their place in the round of 16 of the Champions League with a 2-0 victory against Olympiakos in Greece.
Barcelona completed their Champions League Group D campaign with a 2-0 win over Sporting Lisbon at the Camp Nou.
Manchester United came from behind to beat CSKA Moscow and top their Champions League group as Jose Mourinho's men took their unbeaten home run to a club record-equalling 40th match.
Chelsea missed a chance to finish top of Champions League Group C after a 1-1 draw at home to Atletico Madrid, who will settle for a Europa League spot.
Roma progressed to the Champions League knockout stage as Group C winners after beating Qarabag 1-0 on Tuesday.
Celtic will be playing European football after Christmas despite a 1-0 Champions League defeat by Anderlecht at Parkhead.
Lionel Messi started on the bench as Barcelona secured their passage into the round of 16 of the Champions League with a 0-0 draw at Juventus.
Corentin Tolisso set up one goal and scored another to give Bayern Munich a 2-1 win over Anderlecht on Wednesday in Group B of the Champions League.
Manchester United were denied a place in the Champions League knockout phase as Michael Lang's late strike secured Basel a memorable, and deserved, victory.
Willian scored twice and was fouled for two penalties as Chelsea cruised into the Champions League knockout stages with a 4-0 win over 10-man Qarabag at the Olympic Stadium in Baku.
Antoine Griezmann's stunning goal kept Atletico Madrid's Champions League hopes alive as they grabbed a vital victory over Roma.
Celtic suffered another night of European anguish against Paris St Germain in a 7-1 thrashing in the Parc des Princes.
Raheem Sterling struck a late winner as Manchester City secured top spot in Champions League Group F with a 1-0 win over Feyenoord.
Cristiano Ronaldo set another Champions League record as holders Real Madrid sealed their place in the knockout stages with a comprehensive victory against Apoel Nicosia.
Lorenzo Insigne's magical strike broke Shakhtar Donetsk's defences and Napoli went on to a 3-0 win, which gives them hope of Champions League progress.
Liverpool squandered a three-goal half-time lead to throw away the chance of early Champions League qualification as Sevilla netted a 93rd-minute equaliser in Spain.
Son Heung-Min proved the scourge of Borussia Dortmund again as his late winner ensured Tottenham will go through to the Champions League round of 16 as group winners.