A caliper assembly (100) of a disc brake caliper, of the type with a modified braking action, comprising a caliper body (1) suitable to arrange astride of a brake disc, at least one first pad (8) being slidably received in at least one first seat (101) and so as to position itself between a first vehicle side elongated portion (5) and a first braking surface of the brake disk to abut, with a first pad plane (128) thereof, against said first braking surface (3) and to exert a braking action on the brake disc when pressed by the thrust means upon demand for a first friction action exerted by the first pad friction material against said first braking surface (3) causing a braking action, said assembly (100) further comprising a first insert (106) in a separate body from said caliper body (1) and in a separate body to said first pad (8) and particular in a separate body to said first pad plate (102), said first insert (106) comprises a balance wheel body (119) hinged to the caliper body (1) and oscillating in relation to the caliper body (1) so as to change, in an adjustable manner avoiding replacement of the insert, the angle between the plate support surface (107) of said insert (106) and said plane (104) defined by the braking surface (3) or said pad plane (128).