RB Leipzig led Bayern Munich 4-3 after 90 minutes, but David Alaba and Arjen Robben snatched all three points for the champions.
Tom Starke's late penalty save condemned Darmstadt to relegation as they were beaten 1-0 by Bundesliga champions Bayern Munich.
Thomas Muller, Kingsley Coman and Douglas Costa all failed to do the business as Bayern Munich drew with Bayer Leverkusen.
Bayern Munich resumed their imperious Bundesliga form with a 6-0 win over Augsburg, Robert Lewandowski netting three goals in the victory.
Robert Lewandowski scored twice as Bayern Munich emphatically wrapped up a fifth straight Bundesliga title in a 6-0 win at Wolfsburg.
Borussia Dortmund's young side were swept aside by Bayern Munich, who won Der Klassiker with ease at the Allianz Arena.
Bayern Munich beat Borussia Monchengladbach 1-0 courtesy of a second-half strike from Thomas Muller to tighten their grip on the Bundesliga.
RB Leipzig can cut Bayern Munich's lead at the top of the Bundesliga to six points after they were held to a 2-2 home draw by Mainz.
Hoffenheim make it 18th time lucky against Bayern Munich, ending the Bundesliga champions' unbeaten run in all competitions at 20 games.
Robert Lewandowski made it 100 Bayern Munich goals either side of a Douglas Costa strike as the champions increased their Bundesliga lead.
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