Best way to travel europe by train from paris to rome?

When you get to Paris, you go to the nearest train station (poosibly Gare du Nord) and ask. There are tons of possibilty, tons of connections between Paris and Rome. (And I would suggest you make sure to have a day connection between Zurich and Milan. SUPERB view if the Alps ect.)

buy an eurrail card for two countries when having a three countries version you can take some trains more but some trains can only be used when there is space and you pay for an supplement the cheapest ticket price for one person was when writing this answer euro 130 and takes around 7 hours for this travel you would have needed a three countries the cheapest ticket at the same date the fare would be starting from 152 euro tthis is a travel you can do with a two countries ticket from eurrail takes around 11 hours advantage of an eurrail ticket you can make amount travels during a period of time some trains means you have to pay an supplement with an air carrier on the same day as the travel by train euro 600

Ignore Thrash Paris who is a troll trolling in this section, insulting the French and giving universally bad advise to the others. He will have changed his account name by tomorrow but the answer will still be wrong. The fast speed train is the best, you will see the countryside and won't have too long a trip. You shouldn't have any problem finding a hotel, provided you book them in advance.