A bidirectional side-slit duckbill valve apparatus for use with catheters and similar devices. The apparatus can comprise a duckbill valve configured to allow fluid to flow through it only in a first direction and one or more side-slit valves configured to allow fluid to only flow through them in a second direction, opposite the first direction. In an embodiment, fluid can only flow through the duckbill valve if it is under a substantially positive pressure and can only flow through the side-slit valves if it is under a substantially negative pressure. In an embodiment, fluid that is not pressurized will not flow through either the duckbill valve or the side-slit valve. In an embodiment, the bidirectional side-slit duckbill valve apparatus can also comprise a funnel for directing a guidewire.
