Sitting level on points heading into the clash, a draw or win would have done wonders to Celtic's hopes of advancing to the knockout stages. 

However, facing Bayern at the Allianz Arena is always a difficult task, and it proved just too much for Brendan Rodgers' men. 

Thomas Muller and Josh Kimmich had Bayern 2-0 up inside the first half, before Mats Hummels extended it to 3-0 early in the second period. 

Socceroo Tom Rogic started the game on the bench and came on with 25 minutes to go, but he could do little to help as Celtic went down 3-0. 

Celtic's next clash in the Champions League is a home tie with Bayern, and the Scottish club will be hoping they can exact their revenge.