Technique for determining the location of a mobile unit in a wireless communication system and presenting it to a remote party. In a scenario with first and second position estimates, the first position estimate is presented within a first predetermined time interval of call setup between the mobile unit and the remote party, and, if the second position estimate is available for presentation to the remote party, the second position estimate is presented within a second predetermined time interval after presentation of the first position estimate. Else, status information on availability of the second position estimate is presented within the second predetermined time interval.