Kai Havertz's second-half winner earned Bayer Leverkusen their first Bundesliga points of the season as they beat Mainz 1-0.
Borussia Dortmund extended their unbeaten start to the Bundesliga season with a 3-1 win against Eintracht Frankfurt.
Leon Goretzka scored his first goal for Bayern Munich as the defending Bundesliga champions won 3-0 at Stuttgart.
Kevin Trapp has rejoined Eintracht Frankfurt on a season-long loan from Paris Saint-Germain.
Schalke opened their Bundesliga campaign with a dramatic defeat as they were beaten 2-1 at Wolfsburg on Saturday.
Bayern Munich needed a late Robert Lewandowski goal on Saturday to secure a 1-0 German Cup win over Drochtersen/Assel.
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