A thin-walled piston having a multi-part construction for a brake caliper, the piston having a one-piece design with the form of a pot, which is open on one side, a longitudinal axis, a wall and a piston floor, and which can be applied in the region of the piston floor with an axial contact surface to a brake lining, wherein a tubular insert with a cone is fixed in the interior of the piston, the insert forming a bearing for a bushing.