http://bugs.winehq.org/show_bug.cgi?id=10142
--- Comment #7 from Daniel van Vugt vanvugt@gmail.com 2008-03-06 04:00:09 --- Suggestion: Clarify the summary by changing it to something like: "wine windows become invisible after changing desktops in compiz".
And yes, you can get them back by getting compiz out the way and reverting to metacity: % metacity --replace
However my previous comment suggests that the bug might not be in compiz.
Also, the bug can be avoided by using "Emulate a virtual desktop" in winecfg.