The Bavarians ran out 2-0 winners at the Allianz Arena in Germany.
The win makes it two wins out of two for the Germans, with a star-studded Barca side unable to muster a goal.
Despite a goalless first 45 minutes that nearly saw Barca awarded a penalty for a foul on Dembele by Davies, Bayern took the lead in the 50th minute of the second-half through Luca Hernandez.
Bayern took only four minutes later to slam home their second of the night through Sane, who also made it two goals consecutively in the opening rounds of the UCL.
Pedri hit the post for Barca later on but Bayern held firm for another clean sheet and an all important 3 point.
2-0 was how things ended for the home side. Advantage Bayern.
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