The Europa Ultimate Edition of the film contains deleted scenes like:
1) Danny admits to Sam that he 'hurts people'.
2) An incomplete fight-sequence at a indoor car park.
3) A 3D track shot inside the piano
..and also U.S version scenes include:
1) A longer montage of Bart taking Danny throughout Glasgow to collect money.
2) Alternate ending: instead of ending with a close-up of Danny, it simply ends with the piano crawl.
The European version is entitled Danny The Dog and includes some more scenes including more character development between Freeman and Li and a different title sequence. It also includes a slightly different ending, one which ends on Danny's face.