Robert Lewandowski had put Bayern in front within three minutes and the visitors had plenty of chances to increase their advantage before Forsberg responded in first-half injury time.

But Leipzig rose to the challenge in the second half and had a number of chances to go ahead before keeper Peter Gulacsi reacted brilliantly to save an injury-time effort from Niklas Sule.

Borussia Dortmund hit back from their shock defeat to Bundesliga new boys Union Berlin two weeks ago with a 4-0 win over Bayer Leverkusen.

Paco Alcacer eased the home side's nerves when he swept home from an Achraf Hakimi cross just before the half-hour mark, and Marco Reus extended Dortmund's lead after 50 minutes.

Late goals from Reus again and Raphael Guerreiro added some gloss for the scoreline and ensured the hosts were able to maintain the pressure on their title rivals.

Borussia Monchengladbach also kept up their strong start to the new campaign as a 14th-minute goal from Alassane Plea proved enough to secure a 1-0 win at Rhine rivals Koln.

Defender Jeremiah St Juste scored his first Bundesliga goal as struggling Mainz claimed their first points of the season with a 2-1 win over Hertha Berlin.

Robin Quaison's first-half strike for the hosts was cancelled out late by Marko Grujic but there was still time for St Juste to net the winner with two minutes left.

Werder Bremen won 2-1 at Union Berlin with a Davy Klaassen penalty and a second-half effort from Niclas Fullkrug.

The home side had pulled level when Sebastian Andersson scored a penalty of his own, while Bremen had Nuri Sahin sent off in injury time.

Goals from Marco Richter and Florian Niederlechner earned Augsburg their first win of the season with a 2-1 triumph over Eintracht Frankfurt, who replied through Goncalo Pacienca.

Australian Associated Press