Having opened their pre-season tour on Saturday with an easy 3-0 win over Arsenal in Beijing, Ancelotti’s men inflicted a 3-2 defeat on the Premier League champions at the National Stadium.
With just six minutes on the clock, Rafinha was allowed to advance from deep before drilling home a low strike off the post.
The Blues were reeling and Muller bagged his second with a 30-yard curler after 27 minutes.
Marcos Alonso gave Antonio Conte’s side a glimmer of hope with a goal on the stroke of half-time when Victor Moses sent in a cross.
Chelsea threw on new-boy Alvaro Morata for his debut during the second half and came close to another goal when David Luiz’s deflected effort struck the woodwork.
Michy Batshuayi pulled one back for the Blues five minutes from time but it was too little, too late as Bayern ran out deserved winners.
Here’s how the two teams rated…
Thibaut Courtois 5
No chance with any of the goals.
Victor Moses 5
Better in the second half but undone by Bayern’s quality.
Cesar Azpilicueta 4
Tormented by Ribery who left him for dead for the second goal.
Andreas Christensen 4
Harsh to judge him on this. He’ll have better days.
Gary Cahill 6
Tried to lift heads around him. Succeeded eventually.
Marcos Alonso 6
Fine goal but found wanting defensively.
N’Golo Kante 5
Given a rare chasing by Renato Sanches in midfield.
Cesc Fabregas 5
Unable to perform his magic to open up the German champions.
Nice dummy to allow Moses to set up Alonso.
Jeremie Boga 5
Lots of enthusiasm but unable to make an impact.
Michy Batshuayi 7
Yet another goal, the currency he is judged on. Never stopped working.
Subs: Luiz 5 (Christensen 63), Morata 5 (Boga 63), Eduardo 5 (Courtois 75), Tomori 5 (Alonso 75), Pasalic 5 (Fabregas 86), Baker 5 (Batshuayi 86).
Tom Starke 6
Steady showing from the veteran keeper, little he could do with Alonso’s strike.
As unlikely scorer as you’d find, got forward well as Bayern dominated the flanks.
Javi Martinez 5
The Spaniard was composed in possession.
Mats Hummels 6
Never looks flustered.
Marco Friedl 5
Decent enough display from the 19-year-old at left-back.
Corentin Tolisso 6
Already looking comfortable at Bayern, passed and shielded defence well.
Renato Sanches 7
An all-action display from the much-vaunted youngster — maybe his best Bayern showing.
James Rodriguez 6
Started down the right, a few clever moments but his finishing was wayward.
Thomas Muller 8 (man of the match)
Scored twice, his second a magnificent effort, and his movement gave Chelsea a host of problems.
Franck Ribery 8
The irrepressible Frenchman terrorised the Chelsea defence and brilliantly created Muller’s first goal.
Robert Lewandowski 6
Not at his best, but gives the Bayern attack a platform to play off.
Subs: Coman 6 (Lewandowski 46), Fruchtl 5 (Starke 46), Pantovic 5 (Tolisso 63), Gotze 5 (Rafinha 63), Dortsch (Ribery 81), Wintzheimer (Muller 81).