Asti to Viterbo trains might be a good value for money solution: travelling in Italy by train is often rather cheap and faster than taking a bus indeed Trains leave from Asti and arrive at Viterbo Porta Fiorentina every about 2 hours on average. If travelling with Trenitalia, you need to know the Asti to Viterbo train schedule: the first train leaves at 07:07, while the last ride is at 22:36. A Asti to Viterbo train cost about 54.0 €. But how long is the train ride from Asti to Viterbo? Your journey takes about 10 hours on average.