Can thin clients be setup for use with dialer systems, extension specific?

Hi
I work for a small call centre about 100 users and we are looking at phasing out and replacing desktop machines with thin clients. We use dialer software installed on each machine that is configured per machine for the phone extension on that desk. With all our users having roaming profiles and from what i have read the thin clients would run remote desktop to a virtual server how would I get the thin clients to be extension specific rather than the user profiles?