Catheter valve assemblies and methods for connecting catheters and/or providing fluid access to catheters. In one variation, a device comprises a catheter valve assembly and an extension leg unit. The extension leg unit includes lumen inserts for engaging valves positioned within the catheter valve assembly. In another variation, the valve assembly comprises a depressable plunger which may be engaged by an access cannula. Various connectors with integrated valve assemblies are also disclosed.