Sign up like I did for notices. Even if you do not read Italian, which I do not, it is not that difficult to figure it out.
let me warn you that you will get a lot of notices from them. They announce all kinds of specials like a discount on Saturday travel during certain times.
But I always was able to tell what they were saying.
Good luck!

Sher - as a browser I principally use Firefox but if you use Chrome (or just for this) they have a function which can automatically translate from Italian into English.

dreamon -yes ususally but again sometimes in past Trenitalia has been slow loading summer schedules. also check Italo of course.

Nochblad. Duh. Did not realize that. But really, I found the Italian not so difficult.
i realized that I ordered my tickets before a Promo notice. But I needed four and I am satisfied with the price.
Even without a Promo the Comfort class was sold out. For my trip Smart and Prima were almost the exact price. So I took the Prima.
Live and learn.