A damper system for a vehicle including a pressure tube and a piston assembly. A stroke dependent damper assembly is coupled to a piston rod at a position below the piston assembly. A free floating piston positioned in an internal cavity of the stroke dependent damper assembly is longitudinally moveable between retracted, middle, and extended positions. A metering pin extends from the floating piston into a through-bore in a distal end of the stroke dependent damper assembly. An orifice is defined between an inner surface of the through-bore and an outer surface of the metering pin. Longitudinal movement of the floating piston changes the position of the metering pin in the through-bore, which changes the size of the orifice. Fluid flow through the orifice is restricted when the orifice size decreases, which slows down the movement of the floating piston as it approaches the retracted and extended positions.