To visit Taiwan and New Zealand at once is possible taking the advantage of current tariff of China Airlines, 4-star airline by SKYTRAX. There is currently plenty of dates from November 2013 till May 2014 available! Cheap air tickets from Rome to Auckland with stop-over in Taipei are already available for €714, if you would like to go directly from Rome to Auckland you can book even slightly cheaper flighs where air tickets are starting from €702!
As per the example of the booking below, you may for instance fly from Rome on 4th of March, spend one week on Taiwan then depart on 12th of March to Auckland and return back to Rome on 31st of March 2014. The cheapest flights are possible to book via Lastminute.com (Italian offshoot) or slightly more expensive via Ebookers.
If you are willing to fly cheap to New Zealand without stop-over at Taiwan you may book connection Rome-Auckland where air tickets are starting at €702, in such case the cheapest offer is available via booking agent Tripsta (again Italian offshoot) or slightly more expensive via Ebookers. Please find below possible travel dates.
November – 16,19,23,26,30
December – 3,14
February – 11,15,18,22,25
March – 1,4,8,11,15,18,22,25,29
April – 1,5,8,12,15,19,22,26,29
May – 3,6,10,13,17,20,24,27,31
November – 22,25
December – 9
January – 6,13,17
February – 3,7,10,14,17,21,24,28
March – 3,7,10,14,17,21,24,28,31
April – 4,7,11,14,18,21,25,28
May – 2,5,9,12,16,19,23,26,30