The German league's last-placed side held onto its point, frustrating die Roten, who were overtaken by Monchengladbach on the day
Freiburg was ready to give its all from the very start, and had the visitors on their heels for most of the first half. Other than a header from Holger Badstuber that was called offside, Bayern was rather impotent in the final third.
Instead, Freiburg took the initiative, and took the game to the Bavarians. On 15 minutes, Daniel Caligiuri made a fine run before finding Erik Jendrisek, who fired off target. Ten minutes later, Johannes Flum made a mazy run before Jerome Boateng's last-ditch challenge deflected his shot wide.
The only real chance Bayern managed to create before the interval came in the 42nd minute, as Thomas Muller showed stunning technique to volley Franck Ribery's cross. Baumann was well-positioned, however, to save the Germany international's shot.
Bayern coach Jupp Heynckes shuffled his lineup after the break, bringing Arjen Robben in for Rafinha, a move that saw Toni Kroos move to defensive midfield, David Alaba to left back, and Philipp Lahm to the right.
And in the moments following the restart, the two sides traded fruitless attempts on goal. Badstuber came close with another header, shortly before Boateng again was forced to make an excellent challenge to stop Caligiuri. Ribery threaded a fine through ball to Robben, but the substitute was unable to beat Baumann from a tight angle.
Play soon tightened as Bayern kept the majority of the possession, but was stymied in attack by Freiburg's impenetrable backline. One creative spell involving Ribery and Muller led to a half-chance for the visitors, but the final shot was blocked.
The hosts found counterattacking opportunities more rare in the second half, and were silent in the attacking third for a long spell, before Caligiuri nearly blasted home a winner on 84 minutes. However, Manuel Neuer made a superb save to deny the winger.
There were no late heroics from either side, and the game ended in a scoreless draw that saw Bayern ended the day third in the Bundesliga table, four points behind leader Dortmund, and one behind Monchengladbach. Freiburg moved level with Augsburg and Kaiserslautern on 18 points, but remained last.