A method is provided with which a terminal can obtain information relating to a radio environment. The method includes the following steps: a discovery device receives a request from the terminal to discover a radio environment; the discovery device determines a list comprising a plurality of access points that belong respectively to an access network and are provided to supply radio coverage at a current location of the terminal; a piece of information is obtained relating to an access to a service by using the access points on the list; the list is enriched with the information obtained in association with the access point; the enriched list is scheduled according to at least one criterion relating to the service; and the ordered list is sent to the terminal by the discovery device.