Sami Allagui put Thomas Tuchel's side ahead at the Allianz Arena in the 15th minute before an own goal from Bo Svensson brought Bayern level on the stroke of half-time.

The visitors made it six wins in a row to maintain their 100% start to the campaign thanks to Adam Szalai's goal in the 77th minute, leaving them just one win short of the record for victories at the start of a top-flight campaign held by both Bayern and Kaiserslautern.

Borussia Dortmund remained three points behind Mainz in second with a 3-1 at St Pauli. Kevin Grosskreutz opened the scoring in the 17th minute but Rouwen Hennings levelled nine minutes later. Shinji Kawaga made it 2-1 in the 50th minute and Grosskreutz netted his second 11 minutes later.

Bayer Leverkusen inflicted a fifth league defeat of the season on Stuttgart, running out 4-1 winners as their opponents slipped to the foot of the standings. Sami Hyypia, Arturo Vidal, Hanno Balitsch and Sidney Sam were on target for Leverkusen while Stuttgart, who saw Mauro Camoranesi shown a red card, pulled a goal back through Zdravko Kuzmanovic.

Raul scored his first goal in the Bundesliga at the death to earn Schalke a 2-2 draw at home to 10-man Borussia Monchengladbach.

A Filip Daems penalty and a goal from Michael Bradley made it 2-0 to Gladbach before Klaas Jan Huntelaar cut the deficit in half seven minutes after the break. The visitors went a man down with 12 minutes left as Roel Brouwers was sent off and that set the stage for former Real Madrid striker Raul to open his account in German football in the 87th minute.

Theofanis Gekas and Chris scored to give Eintracht Frankfurt a 2-0 home win against Nurnberg. Gekas opened the scoring after 21 minutes and Nurnberg missed several chances to equalise, twice hitting the woodwork, before Chris sealed the win two minutes from time.

Hugo Almeida scored twice to earn Werder Bremen a 3-2 win at home to Hamburg.

The visitors looked to course for a point after Ruud van Nistelrooy and Jonathan Pitroipa struck in the space of five minutes early in the second half to wipe the 2-0 half-time lead Guy Demel's own goal and Almeida's first had given Bremen. But the Portugal striker struck again five minutes from time to give Bremen their second league win of the campaign.

© Press Association 2010