A wireless communication device (WCD) may receive resource utilization values indicating an amount of available resources of server devices that are capable of sharing resources to support a session of an application. The WCD may generate performance scores for base station-server device groupings that are candidates for being selected as a target base station and a target server device. The WCD may select the target base station and the target server device based on the set of performance scores. The WCD may cause the session to be established in a manner that allows resources of the target server device to support the session of the application.