Update: Alitalia is not honoring flights booked with the $320 discount. However the 25% discount still appears to be working.
Via The Flight Deal, you *may* be able to get $320 off any Alitalia flight when you use the Japanese Alitalia site. This means that you could book flights within Europe for free or close to free, or save $320 on flights elsewhere.
Of course, there’s is a high chance that these fares will NOT be honored, so I wouldn’t make other non-refundable travel arrangements until we know that the fares will be honored. This appears to be valid for travel between November 5, 2012 to March 7, 2013.