The victory moved second-placed Bayern, who take on Celtic in the Champions League next week, up to 17 points, two behind Dortmund who suffered their first home loss in 41 league matches.
Duvan Zapata scored a goal of sheer brute force and determination to set Napoli on the way to a 2-0 win over Sassuolo which moved them another step closer to second-placed AS Roma in Serie A on Monday.
Juventus reached the halfway point of the Serie A season with a commanding five-point lead over Roma after thrashing Verona for the second time in four days on Sunday.
Fiorentina hit four goals before halftime, including a cheeky backheel by Gonzalo Rodriguez and a Panenka-style penalty from Khouma Babacar, to beat Frosinone 4-1 and join Inter Milan at the top of Serie A on Sunday.
Check out the top footballers of the weekend...
News of all that's transpired on and off the football field
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.
News of all that's transpired on and off the football field
News of all that's transpired on and off the football field
News of all that's transpired on and off the football field
News of all that's transpired on and off the football field
Sulley Muntari salvaged a point for AC Milan with a second-half equaliser in a 2-2 draw at the San Siro on Monday that saw visiting AS Roma slip five points behind Serie A leaders Juventus.
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Juventus striker Carlos Tevez scored a magnificent first-half goal, and later missed a penalty, as the runaway Serie A leaders won 1-0 at home to mid-table Genoa on Sunday.
Atletico Madrid delayed Barcelona's La Liga title celebrations by beating Valencia 3-2 at home in an entertaining game on Wednesday at a sparsely attended Wanda Metropolitano stadium.
A bizarre own goal briefly gave Serie A leaders Juventus the jitters, triggering memories of last week's dramatic collapse at Verona, before they recovered to beat lowly Chievo 3-1 on Sunday.
News of all that's transpired on and off the football field.
AS Roma ended a five-match winless run against arch-rivals Lazio with a 2-0 win on Sunday which maintained their 100 percent record after four games in Serie A.
Inter Milan went on a rare scoring spree to thrash Serie A newcomers Frosinone 4-0 and go clear at the top on Sunday, the first time Roberto Mancini's team have won a league match by more than one goal this season.
News of all that's transpired on and off the football field.
Karim Benzema scored his sixth goal in four games as Real Madrid beat Alaves 3-0 on Sunday for a fourth successive La Liga victory which took the European champions to within eight points of leaders Barcelona.
Napoli booked a clash with AS Roma in the Italian Cup semi-finals after a late instinctive Gonzalo Higuain backheel lifted Rafael Benitez's side to a 1-0 win over Lazio on Wednesday.
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Lazio squandered a two-goal lead against Inter Milan as they drew 2-2 at the San Siro on Sunday and wasted a golden chance to take sole possession of third spot in Serie A.
The victory saw the unfashionable Madrid club tighten their grip on the coveted fourth spot in the table by moving on to 58 points after 36 games, three points clear of nearest challengers Sevilla, who lost to Leganes on Friday.
IMAGES from the UEFA Champions League last 16 first leg matches played across Europe on Tuesday
A summary of the results of the major European football league matches on the weekend.
Dutch teenager Max Verstappen is a rare talent comparable to the late Ayrton Senna, according to Red Bull's Formula One consultant Helmut Marko.
Champions Juventus continued their resurgence by beating Hellas Verona 3-0 at home for an eighth successive Serie A victory as Inter Milan remained top after winning 1-0 at Empoli.
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Carlos Tevez scored a stunning goal as Serie A leaders Juventus beat Torino 1-0 on Sunday to continue an extraordinary dominance of their neighbours.
News of all that's transpired on and off the football field
Gareth Bale scored his 25th goal for Wales but Georgia fought back strongly to earn a deserved 1-1 draw in a World Cup Group D qualifier in Cardiff on Sunday. It left Wales, surprise semi-finalists at Euro 2016, with five points from three games and at risk of losing the group leadership after the day's later matches. Georgia took their first point, following narrow defeats by Austria and Ireland.
Parma's Antonio Cassano grabbed his 100th Serie A goal with a stunning volley in a 1-1 draw at home to 10-man Bologna while Genoa's Davide Biondini secured the same result in an equally enthralling clash with Torino on Saturday.
Check out the top footballers of the weekend...
Barcelona's Lionel Messi rescued a 1-1 draw at Villarreal with a sensational late free-kick on Sunday but could not prevent the champions finishing the weekend third in La Liga, five points behind leaders Real Madrid.
News of all that's transpired on and off the football field
AC Milan clung on to beat Parma 5-4 away in Serie A on Sunday despite an dreadful defensive display which included Mattia De Sciglio scoring an extraordinary own goal from near the halfway line late in the match.
News of all that's transpired on and off the football field
The Fernando Llorente and Carlos Tevez double act struck again on Sunday with both players scoring to give Juventus a 2-0 win at AC Milan which strengthened their grip on Serie A.
