SNCF site: Nice to Genoa
 

We are planning to travel by train Nice to Genoa and return at the beginning
of June. I had thought to hold off buying the tickets to keep our options
open. Another reason for delaying is to try to get seats on the
sea-view-side of the car. However, when I went to www.sncf.fr to check if
there are any cheap tickets, the availability of seats seems pretty limited.
We are traveling to Genoa on June 1 and returning June 5. Might there be a
problem getting seats? Can the problem just be with the sncf site?

Marianne