The implant (10) has an intervertebral spacer (12) including a body (18) with cylindrical insertion faces (22 and 24) and upper and lower recesses (30 and 32) e.g housings and that are arranged at body ends based ON its longitudinal direction. Each recess is defined by extensions (34 and 36) e.g wings, extending the respective faces and where height (h) of the extension (34), with respect to a base wall (38), is lesser than 80 percentage or equal to height (h `) of the extension (36), and the height (h) ranges between 1 to 3 millimeters. Fixation connections have an end fixed ON the face (24).
