A method establishes a communication between a first electronic device associated with a first trusted authority and a second electronic device. The method includes: making a first key available to the first device for the communication between the first authority and the first device. A second trusted authority, associated with the second device and distinct and autonomous with respect to the first authority, generates a second key in order to communicate with the second device. Furthermore, the method includes: making the second key available to the second device; and providing the first and second devices with a communication key, to be used communication between the first and second devices, through at least one of the first and second authorities.