Rafael, Phil Jones and Nemanja Vidic all took part having missed Sunday's 2-2 draw at Cardiff, but the players who trained won't necessarily travel in the squad to Germany.
The Reds fly out on Tuesday afternoon and ManUtd.com reporters Gemma Thompson and James Tuck will be on the team plane to bring you all the best build-up to Wednesday's clash at the BayArena. Victory for United, currently top of Group A, would guarantee a place in the knockout stages of the competition, while a draw would be enough if Real Sociedad beat Shakhtar Donetsk in the group's other game.
Make sure you follow our 'United Today: In Germany' blog later and look out for live updates from David Moyes' pre-match press conference from around 17:30 GMT.
Click on the image above to view a gallery of images from training.