A brake disc assembly comprising: - a brake band, - a bell, adapted to be operatively connected to a vehicle wheel associable with the brake disc assembly; - at least one connecting device, which forms a connection between said brake band and said bell; - said connecting device and said bell cooperate by delimiting at least one axial band seat where the brake band may slide in an axial direction (X-X) of a predetermined axial stroke; wherein: - said bell comprises at least a first end-of-stroke surface which forms a first abutment surface in the axial direction (X-X) for said brake band; - said connecting device comprises 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 (X-X) for said brake band; and wherein: - said connecting device comprises at least one male element, which is accommodated in at least one male element bell seat obtained in said bell; - said male element comprises at least one bell abutment surface; - said bell comprises at least one male element abutment surface; - said bell abutment surface of the male element forming an abutment surface in the axial direction (X-X) for said male element abutment surface of the bell so as to avoid said connecting device and said bell from tightening said brake band therebetween; wherein said brake band may slide in said axial band seat of said predetermined axial stroke without being biased; and wherein said male element has a male element body, wherein said bell abutment surface of the male element receiving the direct support of the bell is made in one piece with said male element body; and wherein said male element body is integrally made in one piece, avoiding to delimit through holes longitudinally directed in said male element body; and wherein said male element body of said male element comprises a head comprising an underhead portion and a stem which extends from said underhead portion; said stem of the male element comprises at least one threaded portion. - a brake band, - a bell, adapted to be operatively connected to a vehicle wheel associable with the brake disc assembly; - at least one connecting device, which forms a connection between said brake band and said bell; - said connecting device and said bell cooperate by delimiting at least one axial band seat where the brake band may slide in an axial direction (X-X) of a predetermined axial stroke; - said bell comprises at least a first end-of-stroke surface which forms a first abutment surface in the axial direction (X-X) for said brake band; - said connecting device comprises 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 (X-X) for said brake band; - said connecting device comprises at least one male element, which is accommodated in at least one male element bell seat obtained in said bell; - said male element comprises at least one bell abutment surface; - said bell comprises at least one male element abutment surface; - said bell abutment surface of the male element forming an abutment surface in the axial direction (X-X) for said male element abutment surface of the bell so as to avoid said connecting device and said bell from tightening said brake band therebetween; said brake band may slide in said axial band seat of said predetermined axial stroke without being biased; and wherein said male element has a male element body, wherein said bell abutment surface of the male element receiving the direct support of the bell is made in one piece with said male element body; and wherein said male element body is integrally made in one piece, avoiding to delimit through holes longitudinally directed in said male element body; and wherein said male element body of said male element comprises a head comprising an underhead portion and a stem which extends from said underhead portion; said stem of the male element comprises at least one threaded portion.