The invention concerns a method of managing a telephone call from a caller (B) to a person being called, in which the non-reply of the person being called (A) to the telephone call during a predetermined length of time is detected, a communication is established between the caller and a non-reply server (130) for transferring at least one message intended for the caller while maintaining the telephone call from the caller to the person being called, the response of the person being called (A) to the telephone call from the caller is detected and, if the response of the person being called to the telephone call is detected, the communication between the caller and the non-reply server is interrupted and communication is established between the caller and the person being called. The invention also concerns the associated system.