In case of any problems running it locally, try to do the things described here.
Make sure you have xvfb
installed, then, create a new screen:
Xvfb :1 -screen 0 1024x720x24
Make sure you have x11vnc
installed, then, run:
x11vnc -display :1 -localhost
DISPLAY=:1 wine /path/to/app.exe
Open a remote connection to vnc://localhost:5900
and watch the application
running.
See: https://help.ubuntu.com/community/VNC/Clients. But I think that using the one that comes with the distro is enough.