European champions Bayern Munich extended their record unbeaten run in the Bundesliga to 39 games with a 2-0 win over bottom side Eintracht Braunschweig on Saturday.

Having set a new Champions League record of ten consecutive games after their 3-1 win at CSKA Moscow on Wednesday, Bayern cruised to victory in Munich with two Arjen Robben goals before the break.

Even with hamstring-victim Philipp Lahm, plus France's Franck Ribery and Germany star Bastian Schweinsteiger on the walking wounded list, Bayern had too much fire-power for Braunschweig.

Having warned his side not to take lightly the threat of Eintracht, who have never won in Munich, Dutch winger Robben was as good as his word.

The Netherlands star put the hosts ahead with a header after just two minutes, then slammed home a 30th-minute shot, but this was not an impressive performance as Bayern barely got out of second gear.

Borussia Dortmund picked up their first win in three league games with a hard-fought 3-1 win at ten-man Mainz 05 to stay third and seven points behind Bayern.

Dortmund took the lead on 70 minutes when Gabon's Pierre-Emerick Aubameyang fired home a superb free-kick, but the lead lasted just four minutes before Cameroon's Eric Choupo-Moting fired home a penalty.

Mainz were reduced to 10 men when Colombia's Elkin Soto was sent off for stopping the ball going into the net with his hand and Poland striker Robert Lewandowski fired home the 79th-minute penalty.

Lewandowski then made sure of the points with his second penalty when he converted the 94th-minute spot kick when left-back Erik Durm was up-ended.

Bayer Leverkusen bounced back from their 5-0 drubbing at home to Manchester United in the Champions League on Wednesday -- their worst home result in Europe -- with a 3-0 win at home to Nuremberg to stay second.

South Korea striker Son Heung-Min netted twice while Germany's Stefan Kiessling hit their second after a superb back-heel from midfielder Jens Hegeler.

Werder Bremen warmed up for their visit of Bayern Munich with their first point in three games in an eight-goal thriller.

Hoffenheim raced into a 2-0 lead after Sejad Salihovic converted two early penalties, but Bremen hit back within two goals inside a minute on the stroke of the half-time break.

Midfielder Aaron Hunt concerted a penalty then provided the cross -- through the legs of Hoffenheim goalkeeper Koen Casteels -- for Dutch forward Eljero Elia to make it 2-2 at the break.

Further Hoffenheim goals by Kevin Volland and Kai Herdling put the hosts 4-2 up before Werder's Nils Petersen made it 4-3 for the final half hour.

But Bremen replacement Philipp Bargfrede -- with the squad number 44 -- equalised in the 91st-minute to make it 4-4 and share the points.

Augsburg -- who face holders Bayern Munich on Wednesday in the third round of the German Cup -- warmed up with goalless draw in the capital against Hertha Berlin.

On Friday, Hamburg continued their revival under ex-Holland boss Bert van Marwijk with a 1-1 draw at fifth-placed VfL Wolfsburg.