A brake disc assembly may have a brake band, a bell, and at least one connecting device, which forms a connection between the brake band and the bell. The connecting device and the bell cooperate by delimiting at least one axial band seat where the brake band may slide in an axial direction of a predetermined axial stroke. The bell may have at least a first end-of-stroke surface which forms a first abutment surface in the axial direction for the brake band. The connecting device may have a second end-of-stroke surface, opposite to said first end-of-stroke surface, which forms a second opposite abutment surface in the axial direction for the brake band.