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Victory for either side would have seen them replace Bayern Munich at the summit for now at least but, in a game of few chances, both outfits failed to get off the mark.
Baumann replicated those heroics to keep the hosts out once more early in the second half, this time denying Jonas Hofmann from opening the scoring.
Hoffenheim slowly grew into the clash and forged their first real chance on the hour mark as Roberto Firmino nodded a close-range header against the post.
It proved to be the last real opportunity of the clash as the duo shared the spoils.