Keep in mind these overseas bases are not sovereign territory of the US. To store Nuclear Weapons at Aviano would require the permission of the Italian government. I think that approval would be very unlikely today. Only option I see is to move them to CONUS. (Read: Continental United States for you non military types) If they haven't already been moved I would be very surprised indeed.
I said from the beginning of the Turkish coup that Bush should have moved them out when the Turks wouldn’t support our Iraq invasion. So close to 15 years ago. Another screw up on Bush’s record.