A valved connector device can be attached with and/or incorporated into a body fluid access device, such as a fluid drainage sheath or catheter. The valved connector includes a valve that automatically opens when a secondary device, such as a catheter or tubing, is properly attached to the valved connector. When opened, the valved connector permits fluid flow therethrough so that fluid can be drained from a location, such as a fluid cavity of a patient. The valved connector is closed in a default state and automatically transitions to the closed state when the secondary device is decoupled from the valved connector. In this manner, hemostasis through the body fluid access device is achieved in the default state.