Since you are referring to Windows Live Mesh, not Live Mesh -
www.mesh.com, you are in the wrong forum.
For discussion of the new Windows Live Mesh (formerly Sync), (as well as the released Live Sync version) go here:
http://windowslivehelp.com/forums.aspx?productid=24
However, I believe that you should find the old files in the recycle bin on the computer where they were replaced unless the total size of what was deleted exceeds the capacity of the recycle bin.
In that case, they are gone and you'd need to use a 3rd party undelete program to try to recover them.
-steve
~ Microsoft MVP Windows Live ~ Windows Live OneCare| Live Mesh|MS Security Essentials Forums Moderator ~