Stylet assemblies include one or more securing members extending from a base portion of the stylet assembly and configured to removably attach to a portion of an associated structure. Catheter kits and catheter assemblies may include such stylet assemblies. Methods of using a catheter assembly may include inserting at least a portion of a stylet coupled to a stylet cap in a catheter associated with a catheter connection and securing a portion of the stylet cap to only a portion of the catheter connection hub.
