Borussia Dortmund's wretched start to the Bundesliga season continued against Hannover, while Roberto Di Matteo lost his first game at Schalke.
Christian Gentner scored an 84th-minute winner as Stuttgart won an extraordinary game against Eintracht Frankfurt 5-4.
Stuttgart concede that keeping Antonio Rudiger will be a struggle, but only intend to do business with a 'big outfit'.
Mario Gotze and Philipp Lahm hit braces as Bundesliga leaders Bayern Munich romped to a 6-0 victory over Werder Bremen.
Stuttgart came from three goals down to snatch a 3-3 draw at home to Bayer Leverkusen and continue their recent revival.
Former Stuttgart boss Thomas Schneider has admitted to fielding interest from English clubs in Antonio Rudiger.
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