Bayern s Alphonso Davies vies for the ball with Dortmund s Youssoufa Moukoko, right, during the German Bundesliga soccer match between Borussia Dortmund and Bayern Munich in Dortmund, Germany, Saturday, Oct. 8, 2022. AP
The French forward set up Youssoufa Moukoko for the equalizer in the 75th then clinched what felt like a winning goal in the 95th when he headed in Nico Schlotterbeck's cross from close range.
Leon Goretzka and Leroy Sane scored with the visitors' first two shots on target to put Bayern on track for its eighth consecutive league win over its main rival.
But Modeste's equalizer denied Bayern top spot, and kept Dortmund level on points with the Bavarian powerhouse after nine rounds.
Earlier, Xabi Alonso steered Bayer Leverkusen to just its second Bundesliga win by 4-0 against visiting Schalke in his top-level coaching debut.
Bochum won its first game of the season 3-0 at home over Eintracht Frankfurt. Mainz held Leipzig to 1-1 and Wolfsburg drew at Augsburg 1-1.
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