Multi-valve clawpiece

For use in a milking machine, a clawpiece including four independently operable one-way valves, one for each inlet nipple of the clawpiece, the closure members of the valves being each of a weight greater than the equivalent volume of milk and biased to the valve-closed position by the force of gravity acting on the closure members so as to allow flow of liquid into the clawpiece cavity but not in the reverse direction, the passages of the clawpiece's inlet nipples extending through a base portion of the clawpiece into the clawpiece cavity to provide associated valve seats in the cavity floor, said valve seats having a downwardly tapering shape and the closure members being designed so as, in the valve-closed positions, to make line contact with the valve seats so as to contact them along a narrow annular band.