The group are fiercely proud of their Samoan heritage and were so popular that three extra shows were announced for their New Zealand tour.
Thirteen of the 17 shows sold out.
Tenors Amitai and Pene, and baritone Moses also performed for the Queen at London's Royal Albert Hall during the Festival of Remembrance last month. The group sang Invictus at the annual memorial event, which was also attended by the Duke of Edinburgh, the Prince of Wales and the Duchess of Cornwall.
The trio are touring with English tenor and actor Alfie Boe as special guests on his UK tour.
When they return to New Zealand, they are due to perform a special "Christmas in the Vines" show at Auckland's Villa Maria Winery before taking a brief break to rest up for their 2015 national tour - kicking off in February.
Last year, the group's self-titled debut album was the fastest-selling record, ranking at No1 after being on sale for five weeks and maintaining the top spot for 16 weeks.
In 2010, Pene won NZ Performer of the Year; in 2012 Amitai won the Lexus Song Quest and last year Moses was recognised as an Emerging Artist by the Dame Malvina Major Foundation.