Second-placed Borussia Dortmund beat hosts Mainz 05 2-0 on Friday in coach Thomas Tuchel's return to his former club, ending their three-game winless run in the Bundesliga to close in on leaders Bayern Munich.
An early penalty by Alexis Mac Allister and a Darwin Nunez brace helped Liverpool to thrash Sparta Prague 5-1.
Borussia Dortmund missed a bagful of chances to draw 1-1 at home with Augsburg on Tuesday, as they squandered the opportunity to make up ground in the Bundesliga title race heading into the winter break.
Rattled by embarrassing domestic defeats, Chelsea looked jittery before Olivier Giroud settled their nerves with a close range tap-in shortly after halftime at StamfordBridge following good work by N'Golo Kante and Willian in the build-up.
Manchester City have signed French central defender Aymeric Laporte from Spanish club Athletic Bilbao, the Premier League leaders said on Tuesday.
Reigning champions Manchester City took the lead after 24 seconds but suffered a shock 2-1 defeat at Newcastle United.
Images from the English Premier League matches played on Saturday.
Ronaldo's moments of brilliance, however, are getting ever rarer. Even in the Europa League, where he has started all four matches against mediocre opponents such as Sheriff Tiraspol and Omonia Nicosia, he has only scored once, off a penalty.
Tottenham Hotspur overcame a worrying injury to talismanic striker Harry Kane to beat mid-table Bournemouth 4-1 with a Son Heung-min double and goals from Dele Alli and Serge Aurier to move up to third in the Premier League.
Arsenal finished eighth in the Premier League but their record 14th FA Cup triumph last Saturday ensured another year of European football and the possibility of earning up to 40 million pounds ($52.58 million) in the Europa League.
Lacazette fired the Gunners ahead in the eighth minute after poor defending by the home side before new signing Gabriel made it 2-0 in the 49th and Aubameyang put the icing on the cake with a superb shot into the top corner.
Borussia Dortmund scored three times in the last 10 minutes to rally from a goal down and beat 10-man Hoffenheim 3-1 on Sunday, allowing them to maintain their lone pursuit of runaway Bundesliga leaders Bayern Munich.
Barcelona were shaken up by Eintracht Frankfurt but took a first step in their bid to reach the Europa League last four as a second-half goal by Ferran Torres salvaged a 1-1 comeback away draw in their quarter-final first leg on Thursday.
Arsenal's Aubameyang compared to Henry after his derby double
Chelsea beat Eintracht Frankfurt on penalties on Thursday to set up an all-English Europa League final with local rivals Arsenal in Baku on May 29.
Dortmund's Ciro Immobile hadn't scored since joining the club this season. But while he was getting restless, the striker was asked by coach Juergen Klopp to be patient and persistent.
Liverpool overcame an early scare and came from a goal down to claim a 3-1 win at Austria's LASK Linz.
A late equaliser cost hosts Equatorial Guinea an opening win at the African Nations Cup finals as they drew 1-1 with Congo on Saturday before Gabon beat Burkina Faso 2-0 to top Group A.
Teenager Kylian Mbappe scored twice to give AS Monaco a 3-2 win at Borussia Dortmund on Wednesday in a Champions League quarter-final first-leg match that was postponed following an attack on the home team's bus.
African Nations Cup underdogs Congo boosted their hopes of reaching the quarter-finals after they beat more fancied Gabon 1-0 to throw Group A wide open on Wednesday.
Sergi Canos and Christian Norgaard scored midway through each half to spark wild celebrations by the home fans who have waited so long to take their place in their new 17,500-capacity home and even longer to watch top-flight football.
IMAGES from the English Premier League matches played on Sunday
'We changed our attitude, desire and organisation at halftime and then we were completely different. It was good for my players to learn and to suffer on the pitch'
Depleted Borussia Dortmund shrugged off the absence of more than half a dozen starting players to ease into the German Cup quarter-finals with a comfortable 2-0 win at third-tier Saarbruecken on Tuesday.
Borussia Dortmund coach Juergen Klopp battled to contain his emotions on Saturday after his final game on their bench saw his team lose 3-1 to VfL Wolfsburg in the German Cup final.
Rangers joined Barca in the last eight despite losing 2-1 at Red Star Belgrade, progressing 3-2 on aggregate.
Manchester United remain winless at home in the league this season after Arsenal enjoyed their first win at Old Trafford
Tottenham were booed off at the final whistle as defeat left them in fifth place
The game in front of 57,000 fans in Hamburg's Volksparkstadion started 15 minutes late due to heavy traffic and long queues for increased security checks following the attacks that left 130 dead and hundreds injured in the French capital last week.
London sides Tottenham Hotspur and Arsenal made winning starts as did fellow Premier League club Leicester City.
Fourth division club Carl Zeiss Jena stunned Hamburg SV 3-2 in the German Cup on Sunday, taking the scalp of the Bundesliga's former European champions to cause the biggest sensation of the competition's first round.
Bayern Munich slumped out of the German Cup semi-finals 2-0 on penalties to Borussia Dortmund.
Romelu Lukaku struck twice as Manchester United returned to winning ways after two successive Premier League losses with a 2-0 victory over Burnley at Turf Moor on Sunday.
Borussia Dortmund beat Hertha Berlin 3-2 on penalties to reach the German Cup quarter-finals on Wednesday after the match finished 1-1 after extra time.
Atletico Madrid substitute goalkeeper Antonio Adan saved three penalties before blasting home the winning spot-kick as the Europa League champions edged out Arsenal after the sides drew 1-1 in their International Champions Cup opener in Singapore on Thursday.
News of all that's transpired on and off the football field
Leicester City's Jamie Vardy ended his long scoring drought with two goals after coming off the bench as they returned to winning ways with a 4-0 drubbing of Premier League strugglers Aston Villa at the King Power Stadium on Monday.
Inter Milan midfielder Christian Eriksen scored his first goal for the club since last month's move from Tottenham Hotspur to set up a 2-0 win at Ludogorets Razgrad in their Europa League last 32, first leg on Thursday. Getafe pulled off a surprise 2-0 home win over last year's Champions League semi-finalists Ajax Amsterdam, while Manchester United were held 1-1 at Club Brugge in wet and windy conditions. Wolverhampton Wanderers' Diogo Jota scored a second successive hat-trick in the competition to lead his side to a 4-0 victory over Espanyol and Arsenal won 1-0 at Olympiakos Piraeus with a late Alexandre Lacazette goal.
Arsenal turned around its recent poor form to beat Leicester 3-1 on Sunday
The win allowed second-placed Liverpool to close the gap on league leaders Manchester City to two points.