Lennart Karl and Tom Bischof struck stoppage-time goals as runaway Bundesliga leaders Bayern Munich snatched a 3-2 win at Freiburg.

Bayern appeared set for just their second league defeat of the season at the Europa-Park Stadium after falling behind to second-half goals from Freiburg pair Johan Manzambi and Lucas Höler.

But Bischof scored his first goal for Bayern in the closing stages and fired home a similar effort from outside the penalty area in the second minute of added time before teenager Karl remarkably turned home the winner seven minutes later.

Bayern, whose only league defeat this season was at home to Augsburg in January, were without injured England captain Harry Kane and their thrilling win came three days before the first leg of their Champions League quarterfinal in Spain against Real Madrid.

Bischof fired straight at goalkeeper Noah Atubolu before Freiburg squandered a golden chance to take an early lead when the unmarked Philipp Treu pulled his shot wide from inside the penalty area.

Atubolu was tested again by Joshua Kimmich's low volley and at the opposite end veteran goalkeeper Manuel Neuer -- back in the side after a four-game injury absence - was at full stretch to turn away Lucas Holer's effort.

Bayern stepped it up towards the end of the first period without finding the breakthrough as Karl was foiled by Atubolu and Serge Gnabry sent a long-range shot fizzing narrowly wide.

But the visitors were caught cold less than 60 seconds after the restart when Manzambi cut inside from the left and curled a superb shot beyond Neuer into the far corner for his fourth league goal of the season.

Freiburg had chances to extend their lead when Holer blazed over the crossbar and dragged another effort off target after side-stepping into space on the edge of the area.

Bayern's first second-half chance fell to Michael Olise, but he turned Bischof's cross the wrong side of the far post.

It got worse for Bayern in the 71st minute when they fell further behind, with Holer pouncing to fire home from close range after Neuer had failed to gather Niklas Beste's corner.

Bayern responded and set up a grandstand finish by pulling one back 10 minutes later when Bischof arrowed a low 20-yard shot into the bottom corner for his first goal for the club.

As the visitors pressed for an equaliser, goalbound efforts from outside the box by Olise and Kimmich were superbly saved by Atubolu.

But Bischof rifled in a stoppage-time equaliser with a carbon copy of his first goal and Karl steered home the winner, following brilliant work by Kimmich and Alphonso Davies, in the ninth minute of time added on.