A metallic support for obtaining braking elements for vehicles, in particular brake pads, comprising a first face designed to receive on its first portion a block or layer of friction material and a second face , substantially parallel to the first face, designed to receive a dampening element , the first and the second face being delimited laterally by a peripheral edge of the metallic support that extends between the first and second faces in one direction of a thickness (S) of the metallic support substantially perpendicular to the first and second faces; characterized in that , in combination: i)- the first portion of the first face is provided with at least one projecting part that cantilevers from the first face at least partly parallel to a perimeter profile (P) of the peripheral edge but spaced apart from the peripheral edge and that is delimited at the top by a first surface substantially parallel to the first face; ii)- within the at least one projecting part at least one first cavity is present and defines on the first surface a first shallow recess delimited by a bottom wall substantially parallel to the first face; iii)- the second face is provided with at least one second cavity defining on the second face a second shallow recess having shape and dimensions substantially identical to those of the at least one projecting part and a depth, measured perpendicularly to the first and second faces, substantially identical to a height (H) of the at least one projecting part measured perpendicularly to the first and second faces; iv)- within the said second cavity there being present, corresponding to the at least one first cavity , at least one relief , having shape and dimensions substantially identical to those of the at least one first cavity and height substantially identical to a depth (R) of the first cavity measured perpendicularly to the first and second faces, so that the at least one second cavity and the at least one relief define a receiving seat for the damping element . i)- the first portion of the first face is provided with at least one projecting part that cantilevers from the first face at least partly parallel to a perimeter profile (P) of the peripheral edge but spaced apart from the peripheral edge and that is delimited at the top by a first surface substantially parallel to the first face; ii)- within the at least one projecting part at least one first cavity is present and defines on the first surface a first shallow recess delimited by a bottom wall substantially parallel to the first face; iii)- the second face is provided with at least one second cavity defining on the second face a second shallow recess having shape and dimensions substantially identical to those of the at least one projecting part and a depth, measured perpendicularly to the first and second faces, substantially identical to a height (H) of the at least one projecting part measured perpendicularly to the first and second faces; iv)- within the said second cavity there being present, corresponding to the at least one first cavity , at least one relief , having shape and dimensions substantially identical to those of the at least one first cavity and height substantially identical to a depth (R) of the first cavity measured perpendicularly to the first and second faces, so that the at least one second cavity and the at least one relief define a receiving seat for the damping element . <EOS>