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 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 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 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 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 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 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 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.