I think yes, you should be able to. If the cisco client can ping the desktop, then there's network connectivity. Then, if the desktop folks can ping the cisco client, then they can initiate a session.
We do something similar, with a 3rd party remote control company - logmeinrescue.com. It's sort of like "go to my pc".
I can get out and remote control them and start their session, then I get dropped. However, the session picks back up again, when the traffic gets "rerouted" to go through their vpn tunnel instead of being outside it.
You're using a full layer 3 connection, right, not the webvpn?
Can you verify that the laptop that you attempted to test with for RDP is configured to facilitate RDP access. I recently encountered a problem which turned out to be that the laptop was refusing RDP because it was not configured to accept RDP (or that its firewall was not configured to accept RDP).
Table of ContentsIntroductionVersion HistoryPossible Future
UpdatesDocuments PurposeNAT Operation in ASA 8.3+ SectionsRule Types
Network Object NATTwice NAT / Manual NATRule Types used per SectionNAT
Types used with Twice NAT / Manual NAT and Network Obje...
Table of Contents Introduction:This document describes details on how
NAT-T works. Background: ESP encrypts all critical information,
encapsulating the entire inner TCP/UDP datagram within an ESP header.
ESP is an IP protocol in the same sense that TCP an...