Fernandinho and Yaya Toure were sent off as Manchester City crashed to a damaging 2-1 home defeat to CSKA Moscow in the Champions League.
Arsenal spurned the chance to book their place in the Champions League knockout stages as they threw away a three-goal lead to draw 3-3 with Anderlecht.
Predictions of a rout proved to be well wide the mark as Liverpool's weakened side produced a disciplined if not ultimately successful performance at the Bernabeu.
Juventus just about edged a topsy-turvy Group A encounter with Olympiakos to put themselves in a strong position to qualify for the knockout stages of the Champions League.
Atletico Madrid moved ever closer towards a place in the knockout stages of the Champions League with a 2-0 win at Group A rivals Malmo on Tuesday night.
Borussia Dortmund put their domestic troubles to one side to book their place in the knock-out stages of the Champions League with a comfortable 4-1 win over Galatasaray marred by some ugly scenes in the stands.
Taslica scored a valuable goal to give Benfica their first win in Champions League Group C as they claimed a hard fought 1-0 victory over Monaco on Tuesday night.
A second-half double from Son Heung-min earned Bayer Leverkusen an impressive 2-1 win at Zenit St Petersburg which put them on the brink of the Champions League knockout stage.
Real Madrid showed exactly why they are European champions and how far Liverpool have fallen down the pecking order with a 3-0 victory in a display which oozed class at Anfield.
Substitute Lukas Podolski netted a dramatic late winner as Arsenal came from behind with two goals in the final two minutes to beat Anderlecht 2-1.
A Koke-inspired Atletico Madrid scored five second-half goals in a comprehensive victory over Malmo to go top of Champions League Group A on Wednesday.
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.
Lorenzo Insigne's late winner gave Napoli a deserved 1-0 Champions League victory over Liverpool on Wednesday that saw the Italians move to the top of Group C.
Mauro Icardi took advantage of an error from PSV Eindhoven goalkeeper Jeroen Zoet to gift Inter Milan a 2-1 victory in their Champions League Group B clash on Wednesday.
Borussia Dortmund's blistering start to the season under manager Lucien Favre gathered momentum as the Bundesliga leaders consigned ailing Monaco to a 3-0 defeat in the Champions League on Wednesday.
Antoine Griezmann had a goal in each half -- including the 8,000th Champions League goal -- and Koke also scored in added time to lead Atletico Madrid to a 3-1 win over Club Brugge on Wednesday.
A second-half header by Moussa Marega gave Porto a 1-0 Champions League win over Galatasaray at home on Wednesday.
Lionel Messi scored twice and powered Barcelona to a 4-2 win against Tottenham in Champions League Group B at Wembley Stadium on Wednesday night.
United States international Weston McKennie's late header gave Schalke a 1-0 win over Lokomotiv Moscow in the Champions League on Wednesday as they continued to recover from a poor start to the season.
Neymar scored his second Champions League hat trick as Paris Saint-Germain rolled to a 6-1 victory over Red Star Belgrade in a Champions League group-stage game at the Parc des Princes on Wednesday.
Roma's Edin Dzeko was again the tormentor for Viktoria Plzen as he scored a hat trick in a 5-0 Champions League Group G win for the Italian side on Tuesday.
Manchester United's dismal run of form continued as they were held to a 0-0 draw by Valencia in a drab Champions League clash at Old Trafford.
Lyon produced a stirring fightback to claw back two superb goals from Shakhtar Donetsk's Junior Moraes and rescue a 2-2 draw behind closed doors in a thrilling end-to-end contest at their Groupama Stadium on Tuesday.
A depleted Real Madrid suffered a shock 1-0 Champions League defeat at CSKA Moscow on Tuesday, extending a poor run of form for the holders that has left them without a win in three games.
Benfica played the entire second half with 10 men and squandered a two-goal lead before claiming a thrilling 3-2 win away to AEK Athens in Champions League Group E action on Tuesday.
Full-back Noussair Mazraoui earned a youthful Ajax side a 1-1 draw at misfiring Bayern Munich in their Champions League Group E clash at the Allianz Arena on Tuesday.
Paulo Dybala hit a hat-trick as Juventus maintained their 100% record in the Champions League courtesy of a 3-0 win against BSC Young Boys.
David Silva nipped in to secure a late 2-1 victory for Premier League champions Manchester City at Hoffenheim.
Cristiano Ronaldo's Champions League debut for Juventus lasted only 29 minutes as he was red-carded but the Italians began their Group H campaign impressively with a 2-0 victory at Valencia on Wednesday.
Paul Pogba scored two first-half goals as Manchester United spoiled Young Boys' first appearance in the group stage of the Champions League by cruising to a comfortable 3-0 victory at the Stade de Suisse on Wednesday.
Manchester City looked far from potential Champions League winners as they fell to a surprise 2-1 loss at home to Olympique Lyonnais on Wednesday with a flat performance that leaves them with plenty of work to do to progress from Group F.
CSKA Moscow salvaged a 2-2 draw with Viktoria Plzen in the Champions League on Wednesday after a penalty deep in stoppage time.
Bayern Munich midfielder Renato Sanches had a goal and an assist in his return to Benfica in a 2-0 victory on Wednesday.
Real Madrid rode goals from Isco and Gareth Bale to a 3-0 win against Roma in their Champions League Group G opener at the Camp Nou on Wednesday.
The youngest coach in Champions League history drew his debut game Wednesday as Hoffenheim's match at Shakhtar Donetsk finished 2-2.
Nicolas Tagliafico scored two second-half goals as Ajax marked their return to the Champions League group stages with a 3-0 victory over AEK Athens on Wednesday.
A stoppage-time goal from Roberto Firmino gave Liverpool a 3-2 win over Paris Saint-Germain on a dramatic Champions League night at Anfield.
Red Star Belgrade ground out a 0-0 home draw against Napoli on the Serbian side's Champions League debut as their goalkeeper Milan Borjan made a flurry of telling saves in a pulsating Group C clash on Tuesday.
Borussia Dortmund's United States forward Christian Pulisic came off the bench to grab a late goal for a 1-0 Champions League Group A victory over Club Brugge on Tuesday.
Atletico Madrid battled their way back from a goal down to pull off a confidence-boosting 2-1 win at AS Monaco in Champions League Group A on Tuesday, with a defiant response to their troubling start to the domestic season.
Inter Milan scored two late goals as they came from 1-0 down to beat Tottenham Hotspur 2-1 in a dramatic Champions League clash at the San Siro.
Lionel Messi scored a record-setting hat trick as Barcelona opened their Champions League campaign in Group B with an impressive 4-0 win against PSV Eindhoven at the Camp Nou.