A caliper assembly of a disc brake caliper, of the type with a modified braking action, comprising: - a caliper body suitable to arrange astride of a brake disc, the brake disc having a first braking surface, or vehicle side braking surface, defining a first plane; - said caliper body comprising a first vehicle side elongated portion suitable to face said first braking surface of the brake disc comprising thrust means housed therein; said first elongated portion comprising at least one first seat having at least a first seat support wall; - said first seat being suitable to receive at least a first pad having a first pad plate on which a first pad friction material is placed, defining a first pad plane suitable to face and position itself substantially parallel to said first plane defined by the first braking surface; said at least one first pad being slidably received in said at least one first seat and so as to position itself between said first vehicle side elongated portion and said first braking surface to abut, with said first pad plane thereof, against said first braking surface 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 causing a braking action; said first pad plate being suitable to abut against said at least one first seat support wall to release onto said caliper body a first reaction action to said friction action; - said assembly further comprising a first insert in a separate body from said caliper body and in a separate body to said first pad and particular in a separate body to said first pad plate; - said first insert comprising at least a first plate support surface; - said first insert being positioned between said first pad seat support wall of said first seat provided in said first elongated portion of the caliper body and said first pad plate of said first pad so as to position said first plate support surface substantially facing said first pad plate and inclined in relation to said first plane defined by the first braking surface or in relation to said first pad plane; characterised in that - said first insert comprises a balance wheel body hinged to the caliper body and oscillating in relation to the caliper body so as to change, in an adjustable manner avoiding replacement of the insert, the angle between the plate support surface of said insert and said plane defined by the braking surface or said pad plane. - a caliper body suitable to arrange astride of a brake disc, the brake disc having a first braking surface, or vehicle side braking surface, defining a first plane; - said caliper body comprising a first vehicle side elongated portion suitable to face said first braking surface of the brake disc comprising thrust means housed therein; said first elongated portion comprising at least one first seat having at least a first seat support wall; - said first seat being suitable to receive at least a first pad having a first pad plate on which a first pad friction material is placed, defining a first pad plane suitable to face and position itself substantially parallel to said first plane defined by the first braking surface; said at least one first pad being slidably received in said at least one first seat and so as to position itself between said first vehicle side elongated portion and said first braking surface to abut, with said first pad plane thereof, against said first braking surface 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 causing a braking action; said first pad plate being suitable to abut against said at least one first seat support wall to release onto said caliper body a first reaction action to said friction action; - said assembly further comprising a first insert in a separate body from said caliper body and in a separate body to said first pad and particular in a separate body to said first pad plate; - said first insert comprising at least a first plate support surface; - said first insert being positioned between said first pad seat support wall of said first seat provided in said first elongated portion of the caliper body and said first pad plate of said first pad so as to position said first plate support surface substantially facing said first pad plate and inclined in relation to said first plane defined by the first braking surface or in relation to said first pad plane; - said first insert comprises a balance wheel body hinged to the caliper body and oscillating in relation to the caliper body so as to change, in an adjustable manner avoiding replacement of the insert, the angle between the plate support surface of said insert and said plane defined by the braking surface or said pad plane.