Leroy Sane inspires Bayern to ease past Inter
Sane scored a first-half opener and the German's attempted pass was turned into his own net by Inter defender Danilo D'Ambrosio (33) in the second period.
Bayern coach Julian Nagelsmann, who criticised his side's intensity after their 1-1 draw at Union Berlin last weekend, said his team "showed their desire" to compete.
"The energy was good and the desire of everyone was very good," Nagelsmann told DAZN.
"We scored too few goals, but we deserved to win. We played quite maturely, but (the game) could have been decided earlier."
Bayern started furiously, with Thomas Mueller - the only survivor from Inter's 2-0 win over Bayern in the 2010 Champions League final in Madrid - forcing a fingertip save from home goalkeeper Andre Onana.
Sane broke the deadlock in the 25th minute when he controlled a long pass from Joshua Kimmich, before rounding Onana and rolling the ball into the net.
"I saw the space and knew they were high and had gaps. Jo (Kimmich) saw me super well, that was a super ball from him," Sane said.
"Ultimately, I just wanted to play a good game, have a good feeling and leave the field happy."
Inter's German wing-back Robin Gosens lamented Sane's goal, saying: "We conceded from a long ball - that's exactly what we talked about before (the game)."
Inter started the second half the better of the two teams and almost equalised through D'Ambrosio, but the Italian blazed a rushed shot over Manuel Neuer's crossbar.
Bayern began to turn the screw as the second half continued, with Sane and French forward Kingsley Coman combining in the penalty area.
Sane tried to square a pass to Sadio Mane, but D'Ambrosio intervened, bundling the ball over the line.
Inter went close late on when Argentinian forward Joaquin Correa seized on an errant back-pass by Bayern centre-back Lucas Hernandez, but slid his shot just wide.
Lewandowski to return
In the other Group C game on Wednesday, former Bayern striker Robert Lewandowski scored a hat-trick as Barcelona thumped Viktoria Plzen 5-1.
Bayern welcome Lewandowski back to Munich next Tuesday when they face Barca, with Nagelsmann looking forward to renewing acquaintances with the player who left Munich in the close season.
"I am looking forward to (seeing) Robert, not necessarily as an opponent because he's very good, but as a person," he said.
"It will be an exciting game... they are very strong again and have started well in the league."
Bayern have now scored 29 goals and conceded just six in eight competitive games this season.