I want to buy tickets online from La Spezia to Rome on Oct 11 at about 10:00. I see there is an Intercity train 505 at 10:06, but it is reported as sold out. In fact, it is reported as sold out from any station beginning with its origin in Ventimiglia on any date after Sept. 19. Can this be true? Other trains are available on the same day, but this one is the most convenient to me. I do not want to buy tickets for another train and, when I get there, find out that 505 is also available but I cannot board it with my non-exchangeable ticket. Is it possible that the train is not really sold out but there is another reason why tickets on this train cannot be purchased online, but will be available at the station? Or maybe this train does not run after Sept. 19? Where can I find information about this train and on what days it runs?