Hi
My neice is going to school in Florence and would like to visit me in Italy. Anybody know economical student ways to do that?

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I don't think your post says the same thing as the headline, but guessing somebody wants to get from Paris to Florence or vice-versa, the most economical way is Easyjet.
the two of us flew Easyjet on Oct 1 for 150$ including luggage fees -- it is definitely the way to make the trip. Easyjet flies out of Pisa airport which is considered a Florence airport and there is easy train access directly to the airport from Florence SMN as well as bus services.
Easyjet carryon allowance is very generous so that for a quick visit to Paris, your niece could easily manage without paying for checked luggage with a carry on duffle or backpack (just be sure she carefully reads the dimensions allowed; there is no weight limit but a strict size limit)
From March 25, also Vueling from Florence to Paris.