There are 2 train companies operating 2 routes - RMFI, RMANC. The cheapest train costs $41 and is 2h 35min.
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There are 3 ways to travel from Florence to Terni. 3 trains, 1 bus and 1 by car are possible between the two areas. The by car from Florence to Terni is the cheapest. The train operated by Trenitalia running from Firenze Campo di Marte to Orte is the fastest. The train operated by running from Florence to Terni is the most convenient.
It's important to check each mode when booking your ticket so that you can find the best method for you. The cost of each type varies differently, so be sure to use Faretrotter to keep an eye out!