A device for connection between previously intubed ends of a corporeal duct and a substantially tubular prosthesis. The device can be a meshed structure, such as a mesh sleeve, that is deformable by means of a balloon catheter and capable of radial expansion between a stable configuration of minimum diameter and a final configuration after expansion that is likewise stable. A series of teeth for transfixing overlapping parts of the sleeve, uniformly aligned in a ring formation and radially oriented, can be found at each end of the mesh structure. The teeth are of a hemostatic profile including a base part with a circular cross-section extended by a trihedral terminal portion.