A process for establishing communication, on the INTERNET (3) between
two
devices (1, 2) in which one of the two devices (1) calls the other
(2) on a telephone network to invite it to communicate on the INTERNET by
transmitting a message including a computer address having a first part designating
a server (31) for communicating with the first device (1) and the
second device (2) on the computer network (3), and the computer address
having a second part corresponding in particular to the first device when said
first device (1) is communicating with said server (3) the calling
device (1) also connecting itself to the INTERNET (3) to receive
the computer address for incorporation in the message, and the called device (2)
connecting itself to the INTERNET (3) for establishing communication with
the calling device.