A process for transmitting at least one alarm signal from an alarmed apparatus to a PSAP (Public Safety Answering Point, 127), through a system composed of a plurality of cooperating apparatuses (101, 104, 108, 106, 116, 119, 111, 124, 122) includes at least one such alarmed apparatus (101) and at least one responding apparatus, the apparatuses being equipped at least with memory, a processor and a first radio system for direct reception/transmission, from apparatus to apparatus, of signals and data, and the plurality of cooperating apparatus including at least one apparatus (124, 122) equipped with components adapted to transmit the alarm signal to the PSAP (127). An apparatus is also described which is adapted to implement the above process.