To monitor the functioning of the services of a first infrastructure (CI1) upon which the functioning of the critical services of a second infrastructure (CI2) depend, a server (SS) capable of communicating with both infrastructures receives, upon the detection of a failure of a service of the first infrastructure by a first terminal (CT1) included within the first infrastructure, an identifier (SI) for the faulty service sent from the first terminal. The server transmits a request to the first terminal in order to retrieve the characteristics settings values of the faulty service, and apply correlation rules to the retrieved values in order to produce information relevant to the functioning of the faulty service. The server transmits a message (SPM) containing the produced information to a second terminal (CT2) included within the second infrastructure, so that the second infrastructure can react to the failure of a service of the first infrastructure.