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.
Anthony Modeste scored twice as Cologne boosted their Europa League hopes with a thrilling 4-3 home win against Werder Bremen.
Bayern Munich secured their fifth consecutive Bundesliga title with a 6-0 rout of Wolfsburg on Saturday.
Borussia Dortmund ended a difficult week with a 3-1 win over Eintracht Frankfurt while Bayern Munich were held by Bayer Leverkusen.
Hoffenheim earned a 1-0 win over Bundesliga leaders Bayern Munich, while Borussia Dortmund coasted past Hamburg.