A severely underrated port town in the Italian Riviera, La Spezia also happens to be Italy's largest naval base. It is relatively quieter than the rest of the Italian cities and the locals are nice and simple unlike their more urban counterparts. The only reason La Spezia gets touristy is owing to the fact that it serves as a base for those wanting to visit the Cinque Terre villages, yet the place exudes an inexplicable charm of its own. Walk around the several beautiful piazzas leading up to the waterfront and allow yourself some time to sample the street food available - Waffle Churros, Chips, Farinatas (chickpea flour pancakes) and Take Away Pizzas among other Italian delicacies. If you are a fan of retail therapy, every imaginable brand along with a few local ones can be found in the city. The Porto (waterfront) is a perfect place to sit, read and simultaneously indulge in a good amount of people watching.
Trains run from Rome Termini/Rome Ostiense to La Spezia Centrale/La Spezia Migliarina every few hours. The duration is around 4 hours and will cost you approximately 50 Euros per trip. Additionally, you may have to change trains on certain stations. Booking on the ItaliaRail/Trenitalia websites in advance is a great idea as you save money and since most changing trains are Regionale trains on which you do not have reserved seats (unlike Intercity and Frecciargento), it is absolutely imperative to validate your tickets on the many validation machines at the station just before you board the train.