Bainimarama was once on the list of people banned from New Zealand, after leading a coup in 2006.
Relations reached crisis point in 2008 when New Zealand expelled the Fiji High Commissioner in response to Bainimarama expelling New Zealand and Australian diplomats.
But the thaw in diplomatic relations has been rapid since Fiji's 2014 elections.
Foreign Minister Murray McCully has been a regular visitor to Fiji and Prime Minister John Key made an official visit to the island nation in June.
Key will host Bainimarama at the Bledisloe Cup game on Saturday at Eden Park.
New Zealand and the United States have tried to maintain a reasonable relationship with Fiji, not least to offset its growing friendships with China and Russia.
Fisheries and other trade will be a key focus of Bainimarama's activities in Auckland today as he seeks to drum up greater investment in Fiji.
Shane Jones, New Zealand's Pacific Ambassador for Economic Development, will host him for much of the day.
The pair will be speaking at an investment symposium in Auckland.
The Pacific trade and development deal Pacer Plus is also likely to be the agenda of talks with McCully today and PM Key on Saturday.
There has been some disquiet over the detention last month of five opposition figures who took part in a forum to discuss the country's constitution, although they were released without charge.
Jones, however, said: “Let's deal with the man as the elected representative of Fiji and the reality is that two-way business continued over the last 10 to 12 years.
“Anything that creates [fisheries] industry jobs in that part of the Pacific deserves our support. There is unfinished business in relation to Pacer Plus.”
Bainimarama will have meetings with the Fiji community in Auckland. He will be formally welcomed to New Zealand on Saturday and hold formal talks with PM Key before the rugby.
SOURCE: NZ HERALD