Method of establising calls between a telephone terminal and an ip terminal

A method of setting up multimedia calls from a (telephone) first terminal (T1) to a second terminal (T2) connected to an IP network wherein, in order to set up a call to the second terminal (T2) from the first terminal (T1), the method comprises:

• the first terminal (T1) sends to a connection server (SMR) a call request (DA) containing a predetermined (called party) second identifier (ID2) for the second terminal (T2);
• on receiving the call request (DA), the connection server (SMR) temporarily stores the (called party) second identifier (ID2) in a correspondence table (TC) in association with a first number (NT) determined from the call request (DA) and instigates the sending by the first terminal (T1) of an incoming call (AE) to a particular second number (NS) which is a service number connecting to a call set-up gateway (PEA), the incoming call (AE) including a call characteristic (CAR) to indicate a relationship between the first number (NT) and the (service) second number (NS);
• and
• the call set-up gateway (PEA) signals at least the characteristic (CAR) of the received incoming call (AE) to the connection server (SMR), which determines the (called party) second identifier (ID2) associated in the correspondence table (TC) with the first number (NT) corresponding to the signaling (SAE) of the characteristic (CAR) of the incoming call (AE) in order to signal the incoming call to the second terminal (T2) corresponding to the (called party) second identifier (ID2) determined in this way, in order to set up a multimedia communications channel between the second terminal (T2) and the call set-up gateway (PEA), which then connects the multimedia communications channel to the incoming call.