Thomas Mueller and Arjen Robben scored either side of halftime for Bayern but Paulo Dybala reduced the deficit with his first Champions League goal shortly after the hour.
That seemed to inspire Juventus, which almost leveled shortly afterward, before substitute Stefano Sturaro grabbed the equalizer 14 minutes from time.
Visiting goalkeeper Manuel Neuer was mainly a spectator in the first period, when he was often the only player in his half, cutting a lonely figure as far up the pitch as around the center circle.
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