Luca Waldschmidt's late winner condemned Wolfsburg to Bundesliga's relegation play-off as Hamburg survived on the final day.
Arjen Robben scored deep into stoppage time as Bundesliga champions Bayern Munich twice battled back to clinch a spectacular 5-4 victory over RB Leipzig.
Juan Bernat's early goal was enough to give champions Bayern Munich a 1-0 victory over Darmstadt and send the visitors down.
Bayern Munich secured their fifth consecutive Bundesliga title with a 6-0 rout of Wolfsburg on Saturday.
Jerome Gondorf's stoppage-time winner clinched Darmstadt a 2-1 home win against Schalke, while Werder Bremen beat Hamburg.
Bundesliga leaders Bayern Munich moved seven points clear at the top with a 3-0 victory at Cologne.
Bayern Munich extended their lead at the top of the Bundesliga to seven points after scoring late to win 2-0 at Ingolstadt.
Raul Bobadilla struck late on to snatch a 3-2 Bundesliga win for Augsburg over Werder Bremen, as Eintracht Frankfurt beat Darmstadt 2-0.
Bundesliga leaders Bayern Munich saw their winning run come to an end as Schalke battled to a 1-1 draw at the Allianz Arena.
Red Bull Leipzig moved back to within two points of Bundesliga leaders Bayern Munich with a comfortable 3-0 win over Eintracht Frankfurt.
Hoffenheim suffered their first Bundesliga defeat of the season as they went down 2-1 at RB Leipzig.
Bayern Munich moved above Leipzig at the top of the Bundesliga, 11 days before the top two are due to meet at the Allianz Arena.
Hamburg celebrated their first win of the season on Sunday to move off the bottom of the Bundesliga with a 2-0 victory in Darmstadt.
Bayern Munich moved three points clear at the top of the Bundesliga on Saturday after seeing several of their rivals stumble.
Pierre-Emerick Aubameyang struck twice as Borussia Dortmund beat Wolfsburg 5-1 to go top of the Bundesliga, while Hamburg lost to Freiburg.
Leipzig picked up a first Bundesliga win in their maiden home fixture with a 1-0 win over Borussia Dortmund, while Leverkusen beat Hamburg.
Bundesliga club Darmstadt have added the name of a fan who died of cancer to the official name of its stadium.
Borussia Dortmund respond to Bayern Munich with opening day win thanks to Pierre-Emerick Aubameyang's double.
Bayern Munich were held 1-1 at home by Borussia Moenchengladbach on Saturday as Borussia Dortmund kept the Bundesliga title race alive.
Bayern Munich beat Hertha Berlin 2-0 to move a step closer towards the Bundesliga title, while Borussia Dortmund defeated Stuttgart 3-0.