Bundesliga

 

Hoffenheim 1-1 Dortmund: Sebastian Rudy put the home side in control in the 42nd minute but Paul-Emerick Aubameyang levelled matters 10 minutes into the second half. 

 

Bayer Leverkusen 1-0 Mainz: Javier Hernandez netted the game's only goal in the 69th minute to secure the three points for the hosts.

 

Hannover 96 1-3 Stuttgart: Kenan Karaman opened the scoring for the hosts but Christian Gentner, Timo Werner and Alexandru Maxim were on target to lead the visitors to victory.

 

Monchengladbach 4-2 Augsburg: The goalfest saw the hosts surge to a four-goal lead thanks to Fabian Johnson, Granit Xhaka, Lars Stindl and Mahmoud Dahoud. Paul Verhaegh netted two penalties after the break.

 

Schalke 2-0 Frankfurt: Joel Matip and Leroy Sane netted a goal apiece in the last 15 minutes to claim all three points for the hosts.