Methods, apparatus, systems and articles of manufacture for valve trim apparatus for use with control valves are disclosed. An example valve trim apparatus for use with a fluid valve includes a cage positioned in a fluid flow passageway of a valve body, the cage including a primary valve seat and a secondary valve seat. The valve trim apparatus includes a valve plug slidably positioned within the cage, the valve plug including a primary sealing surface to sealingly engage the primary valve seat and a secondary sealing surface to sealingly engage the secondary valve seat, the primary sealing surface adjacent to a first end of the valve plug and the secondary sealing surface spaced away from the primary sealing surface along a longitudinal axis of the valve plug toward a second end of the valve plug.