Monza to Alcamo 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 Monza and arrive at Alcamo Diramazione every about 6 hours on average. If travelling with Trenitalia, you need to know the Monza to Alcamo train schedule: the first train leaves at 18:27, while the last ride is at 19:39. A Monza to Alcamo train cost about 121.95 €. But how long is the train ride from Monza to Alcamo? Your journey takes about 9 hours on average.