Method to recondition a medical instrument, comprising: a first step of connecting a medical instrument (16) to a connector (11); one or more intermediate steps of reconditioning the medical instrument (16) in which the connector (11), with the medical instrument (16) connected, is associated with a corresponding reconditioning counter-connector (12a - 12c); a final step of disconnecting the connector (11) from the medical instrument (16) once the reconditioning cycle has been completed.