Luis Díaz set aside a glaring miss to help Bayern Munich celebrate Harry Kane's 100th match for the club with a nervy 3-2 Bundesliga win at Bavarian rivals Augsburg.

Former Liverpool forward Díaz bizarrely backheeled the ball away from goal as he attempted to finish into the unguarded net from inside the six-yard box in the opening minute.

The Colombia international made amends by doubling Bayern's lead in first-half added time after England captain Kane marked his milestone outing with a delightful assist for Serge Gnabry's opener.

Kane also teed up Michael Olise for the visitors' third before goals from Augsburg pair Kristijan Jakic and Mert Kömür ensured a tense ending.

Victory for Vincent Kompany's defending champions was a second in succession in the league following last week's 6-0 demolition of RB Leipzig.

Kane was one of five players retained by manager Kompany after sparing Bayern's blushes with an added-time winner in Wednesday's 3-2 victory at third-tier Wehen Wiesbaden in the German Cup.

Christina Pahnke - sampics/Corbis via Getty Images

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Díaz should have given the away team a perfect start but, with the goal gaping, he somehow made a complete mess of Olise's inviting centre.

Gnabry duly headed Bayern ahead in the 28th minute, driving into the box to nod Kane's pinpoint delivery into the bottom left corner.

Olise had penalty appeals waved away and was then denied by Augsburg goalkeeper Finn Dahmen before releasing Konrad Laimer on the right, who cut the ball back for Diaz to atone for his early blunder with a clinical first-time finish.

Bayern were rarely tested defensively and looked to be in complete control three minutes into the second period when Olise collected the ball from Kane and cut inside Keven Schlotterbeck to fire home.

Yet Augsburg, who began the campaign with an impressive 3-1 victory at Freiburg, were back in the contest just five minutes later.

Croatia midfielder Jakic claimed the goal, volleying into the bottom right corner following Robin Fellhauer's cross from the right.

From a position of power, Bayern had serious cause for concern with 14 minutes remaining after Germany Under-19 midfielder Komur finished with the aid of a slight deflection off Joshua Kimmich.

Olise went close to swiftly restoring his side's two-goal advantage before Komur powered a header wide at the other end.

Bayern ultimately survived a major scare after anxiously hanging on during an uncomfortable period of added time, which was extended due to Fellhauer being stretchered off following a sickening clash of heads with Bayern substitute Sacha Boey.