Bundesliga giant Bayern Munich strengthened its grip on the top spot with a thrilling 3-2 win over RB Leipzig on Saturday.

"We can be happy with this win, in part because it's a signal to other teams," Bayern goalkeeper Manuel Neuer told Sky after equaling Oliver Kahn's record of 310 Bundesliga victories.

The champions held off a spirited display from Leipzig to decide a dramatic, end-to-end battle in its favor and pull nine points clear at the top overnight.

"Both teams had so many chances today, too many from a defensive point of view. But it was an important win for us," Bayern coach Julian Nagelsmann said.

Bayern's eighth win in nine games heaps pressure on second-placed Borussia Dortmund, who faces Bayer Leverkusen Sunday.

Thomas Mueller opened the scoring on 12 minutes, tapping into the empty net after Peter Gulacsi parried a low shot from Robert Lewandowski.

Neuer twice denied Dani Olmo at the other end, before a mistake from Corentin Tolisso in midfield allowed Leipzig to break and Andre Silva to equalize just before the half-hour mark.

Mueller then had a goal ruled out by the video assistant referee (VAR) before Lewandowski restored the lead shortly before halftime.

Tolisso tore Leipzig apart with a brilliant through ball, Kingsley Coman curled the ball into the box and Lewandowski sent a ferocious header past Gulacsi.

The game continued to sparkle in the second half, Lewandowski coming close at one end before Bayern was caught off guard by another cut-throat Leipzig attack.

Konrad Laimer picked up his second assist with a devastating pass through to Christopher Nkunku, who slotted the ball past Neuer.

Bayern was in front again just five minutes later, however, when Josko Gvardiol diverted a Serge Gnabry cross into his own net.

"We had a chance to get a really useful result here," said Leipzig keeper Gulacsi, whose side remain three points adrift of the top four.

Union and Freiburg stumble

Elsewhere, crisis-hit Borussia Monchengladbach was held 1-1 at Arminia Bielefeld, while high-flying minnow Freiburg and Union Berlin both slumped to surprise defeats in the race for the Champions League.

Gladbach's run of one win in nine competitive games looked set to continue when Janni Serra smashed the ball into the top corner to give Bielefeld an early lead, but Alassane Plea spared it blushes with a second-half header.

"We were really pushing for the win towards the end. We were playing at a good level, even if our self-confidence isn't quite there yet," said coach Adi Huetter.

Eintracht Frankfurt took a step towards the European spots with a dramatic 3-2 win over relegation-threatened Stuttgart.

Evan Ndicka flicked the ball in at a corner to give Frankfurt an early lead before Stuttgart hit back just before halftime, Waldemar Anton getting on the end of a swinging free kick to score his side's first goal in six league games.

Ajdin Hrustic restored the lead with a thunderous volley just minutes after coming on at halftime, and struck again late on to seal the win after a Sasa Kalajdzic header had brought Stuttgart level.

Stuttgart is now three points adrift of safety after fellow struggler Augsburg picked up a surprise 2-0 home win over fourth-placed Union Berlin.

Union keeper Andreas Luthe handed the opener on a silver platter to Michael Gregoritsch with a hashed clearance early on, before Andre Hahn smashed in a superb long-range effort on the hour mark.

Union remain in fourth despite the defeat, as those around them also dropped points.

A late goal from South Korean international Lee Jae-sung and a penalty from Moussa Niakhate saw Hoffenheim succumb to a 2-0 defeat away to Mainz.

Fifth-placed Freiburg, meanwhile, were beaten 1-0 away to Cologne thanks to a sharp first-half finish from French striker Anthony Modeste.