Abstract: The invention relates to a pie coupling, including a connection (3), arranged to receive with sliding fit a coupling member (5) which, on forced axial displacement into or in over the connection, is intended to act on clamping and sealing means (6), for translating the compression forces generated by the axial compression into radial compression forces against a pipe or coupling piece (1) inserted into the coupling. The connection may be implemented as a coupling housing (85) having both internal and external threads. Within the threaded area the coupling member may be formed with a cylindrical recess (45) fitting a cylindrical surface (154) provided with an optional type of thread. In accordance with an alternative embodiment, the connection may be equipped with a collar coacting with gripping means (70) equipped with hooks. The clamping and sealing means (6) is retained in the coupling member by coaction between a projection (9) and a locking flange (10).