Setting up existing exim emails on new server without domain

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http://serverfault.com – We've had a hard disk failure, and have a backup of emails. The MTA on the server was Exim. We need to setup the mails on another server to give the admin access to these emails on desktop client such as Thunderbird or Outlook. As far as I know, there's no way to directly import Exim mail files into these clients. So I think we'll need to setup Exim on the new server as well. The issue with this is that we cannot setup domains on this server. So how can we go about managing these emails from a desktop client without setting up domains on the new server? The directory structure of the emails: (HowTos)