A technique is disclosed that enables a telecommunications user to initially enter a greeting message in a single media format such as either voice or text. Subsequently, this greeting message is used by a server in response to any communication event that arrives for the user, such as a voice call or an email message, regardless of the media format of the arriving communication event. When the server receives arrival notifications of various communication events, it generates a customized greeting message in response to that event and in the same media format as the event itself. In other words, the server represents a previously-prepared outgoing voice or text message i) as a voice message in response to an incoming voice call and ii) as a textual message in response to an email, SMS text message, or instant message.