Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Dunedin to Rome Fiumicino Airport as you normally would.
For a flight from Dunedin to Rome Fiumicino, you will be flying from Dunedin. Dunedin (DUD) is just 24.0 km from the centre of the city. Dunedin is the only Dunedin airport and it handles 0 outbound flights to Rome Fiumicino per day. 0 airlines have flights to Rome Fiumicino from Dunedin on a regular basis.