Serge Gnabry has joined Hoffenheim on a season-long loan from Bayern Munich.
West Ham have announced the sale of midfielder Havard Nordtveit to German side Hoffenheim for an undisclosed fee.
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.
Hoffenheim moved up to third place in the Bundesliga with a 1-0 victory over Eintracht Frankfurt, while Augsburg thrashed Hamburg.