Ok, figured it out. The default installation of Debian Wheezy does not install the POSIX compatibility layer for GVFS. Install it:
apt-get install gvfs-fuse
Add your user to the FUSE group:
adduser <username> fuse
Reboot your machine (or switch runlevels) and now GVFS will export a FUSE-fs to /home/<username>/.gvfs/<resourcename>
Best regards.
See https://wiki.gnome.org/Projects/gvfs/doc for more information, esp. the part about the FUSE daemon.