A railway rail fastening apparatus has a baseplate for receiving a railway rail to be fastened thereto and baseplate securing elements for securing the baseplate to a baseplate seat area of a concrete railway foundation. The baseplate securing elements carry first and second fastening assemblies configured for location on the concrete rail foundation on opposite sides of the baseplate seat area. Each of the first and second fastening assemblies including fixing member having a first part that extends from the baseplate member for retention within the concrete rail foundation. Only the fixing member of one fastening assembly includes a screw-threaded fastener.