Singapore: Bayern Munich playmaker Thomas Mueller scored two sublime goals as they capitalised on a fast start to edge Chelsea 3-2 in the opening match of the International Champions Cup Singapore friendly tournament on Tuesday.

Bayern manager Carlo Ancelotti had implored his side to show improvement following a 4-0 drubbing by AC Milan in Shenzhen last week and his players answered the call with a scintillating opening spell as they raced to a 3-0 lead in 26 minutes.

Chelsea, who gave a debut to their new Spanish striker Alvaro Morata, adopted the 3-4-3 formation that served them well on their way to the Premier League title in May but a sluggish start left them with too much to do against a rampant Bayern.

German forward Mueller struck twice after Rafinha put Bayern ahead in the sixth minute before Chelsea pulled a goal back through Marcos Alonso on the stroke of haltime and added a late consolation from Michy Batshuayi who was set up by Morata.

The German side's tactics were to sit back and punish Chelsea on the counter and the plan worked wonders with new signing James Rodriguez, Mueller and Franck Ribery able to unlock the English champions' defence with alarming ease.

After a fairly pedestrian opening, Bayern full back Rafinha scored for the German champions, cutting in from the right wing and drilling home a low drive into the opposite corner past sprawling Chelsea goalkeeper Thibaut Courtois.

Bayern looked irresistible and doubled the lead six minutes later when Ribery skipped past Cesar Azpilicueta on the left side of the penalty area, then dinked over an inviting cross for Mueller to volley home his first goal from close range.

Rodriguez appeared comfortable in a roaming role behind Polish striker Robert Lewandowski and although the Colombian spurned several chances to extend Bayern's lead, Ancelotti would have been pleased with what he saw of his new recruit.

Mueller then made it 3-0 with a spectacular long-range effort after 26 minutes when the German international strolled forward from halfway towards a passive Chelsea defence and unleashed a curling shot past Courtois from 25 metres.

"It was a really nice reaction by the side after the result against Milan so we are very happy and everything is going good," Mueller said in a pitchside interview.