There are a few scattered dates (mostly in August and September) when you can fly from Auckland (AKL) to Rome (FCO) via Sydney and Seoul for 5558 NZD in business. The outbound AKL-SYD flight is operated by Qantas and the inbound SYD-AKL flight is cheapest if operated by LATAM, but for a few hundred NZD more you can get a flight operated by Air New Zealand if you want as much of the trip to be operated by a Star Alliance airline as possible.
Depart on -
For 5558 NZD
August 21, 28
September 4
For 5577 NZD
May 2024 - 1, 3, 4, 6, 8, 10, 11, 13, 15
For 5698 NZD
August 20
October 29
For 5716 NZD
April 2024 - 30
May 2024 - 2, 5, 7, 9, 12, 14, 16
For 5958 NZD
August 12, 14
February 2024 - 2, 16
Google Flights
https://www.google.com/travel/flight...iwRU6eXRCp3Fj8
Fare Rules
Category 8: Stopover restrictions
2 STOPOVERS PERMITTED IN EACH DIRECTION.Category 9: Transfer restrictions
UNLIMITED TRANSFERS PERMITTED ON THE PRICING UNIT
FARE BREAK AND EMBEDDED SURFACE SECTORS NOT PERMITTED ON
THE FARE COMPONENT.
Category 15: Sales restrictions
TICKETS MUST BE ISSUED ON/AFTER 01APR 17.Category 15: Sales restrictions
TICKETS MUST BE ISSUED ON OZ.
Google Flights
ITA Matrix
ITA Matrix - Air New Zealand Instead of LATAM