Monza to Molfetta 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 Molfetta every 60 minutes on average. If travelling with Trenitalia, you need to know the Monza to Molfetta train schedule: the first train leaves at 07:09, while the last ride is at 19:39. A Monza to Molfetta train cost about 64.1 €. But how long is the train ride from Monza to Molfetta? Your journey takes about 9 hours on average.