This item of vertebral osteosynthesis equipment includes at least one bone anchoring member (51) including a proximal threaded pin, at least one connecting part (52) with a hole (58) for the engagement of same on the proximal threaded pin, and at least one nut intended to be screwed onto the thread provided on the outside of the pin (54) in order to receive the nut. According to the invention, the revision assembly (1) includes a threaded extension rod (2) having a widened end (6) that defines a threaded axial cavity (10), the threaded axial cavity (10) being dimensioned to allow the threaded extension rod (2) to be screwed onto the thread provided on the threaded pin (54); the hole (58) provided in the connecting part (52) has a diameter such that it can receive said widened end (6) of the threaded extension rod (2) therethrough; and the revision assembly (1) includes a so-called “reassembly” nut suitable for being screwed onto the threaded extension rod (2).