RDP into Dual Display Client from Single Display Laptop

Hello.

I have a small problem - when I try to log into my dual display client from
a single display laptop everything that was on one of the two displays from
the client is smooshed into the other monitor.

When I physically log back into the client without RDP, my icons, windows,
etc. are now all on one monitor instead of where they were before the RDP.

Is there anything I can do about this?
Thanks,
Matt