The hosts went ahead in the first half through Joshua Kimmich's header but were denied all three points as the visitors levelled after the break to end their perfect start
Bayern Munich dropped their first Bundesliga points of the season as Anthony Modeste's second-half equaliser gave Koln a shock 1-1 draw at the Allianz Arena.
Carlo Ancelotti's side had suffered defeat to Atletico Madrid in the Champions League last time out and failed to get back on track despite Joshua Kimmich heading his fifth goal of the season in the first half.
Koln came into the game sitting fourth after an impressive start to the campaign and Modesete scored in acrobatic fashion on 63 minutes shortly after Javi Martinez had hit the post for Bayern, who made seven changes after their midweek defeat.