BERLIN - Reigning champions Bayer Leverkusen came from two goals down to snatch a 4-3 win at VfB Stuttgart with two late goals on Sunday and snap a three-game losing run in all competitions as they cut Bayern Munich's lead atop the Bundesliga to six points.

Patrik Schick headed the winner deep into second-half stoppage time to give the visitors the points after they had drawn level minutes earlier courtesy of Stuttgart midfielder Angelo Stiller's 88th-minute own goal.

Five days after their Champions League Round of 16 exit to Bayern following defeats in both legs, Leverkusen bounced back from last week's 2-0 home defeat by Werder Bremen.

The result lifted Leverkusen to 56 points in second place, cutting Bayern's lead after their 1-1 draw at Union Berlin on Saturday as the teams went into the international break.

"The late goal was a magic moment for us and the celebrations were very emotional," Leverkusen coach Xabi Alonso said. "Compliments to my players who never gave up. We had the will until the very end to get those three points.

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"Stuttgart played a very strong game. This win is very good for us after the defeat this week in the Champions League." Leverkusen are also through to the German Cup last four where they face third-tier Arminia Bielefeld next month.

Ermedin Demirovic put Stuttgart ahead in the 15th minute before the unmarked Nick Woltemade slotted home to complete a quick break and make it 2-0 three minutes after halftime.

Leverkusen's Jeremie Frimpong cut the deficit in the 56th after Stuttgart repeatedly failed to clear the ball.

However, the hosts restored their two-goal lead in the 62nd minute when goalkeeper Lukas Hradecky saved a Demirovic shot but the ball bounced off Granit Xhaka for an own goal.

Six minutes later it was Leverkusen's turn to score with Piero Hincapie drilling in a shot to give them renewed hope.

Amine Adli came agonizingly close to an equalizer in the 82nd but his effort just missed before Stiller's own goal.

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Schick completed Leverkusen's pulsating late comeback in stoppage time to keep them firmly in the title race.