The regulators also made clear the need to respond quickly.
"We consider that the window for you to demonstrate to consumers, regulators and other stakeholders that they can have full confidence in the financial services industry in New Zealand is narrow, and you will have seen we have encouraged proactive leadership from the retail banking sector."
The regulators have asked for a written response that outlined the actions the insurer had taken to identify and address conduct risk from the company's actions, including product design and distribution, incentives setting and claims performance.
"This should include any 'gap analysis' work against the expectations set out in the FMA's Conduct Guide."
They also want to know about any specific plans or actions taken to respond to the issues and themes which had arisen from the Royal Commission, any other work being done to identity potential conduct and culture risk and any work to remediate identified issues where conduct has resulted in "detrimental outcomes for customers".
New Zealand's life insurers are already facing pressure from the Financial Markets Authority to consider how they incentivise advisers to sell their products with the regulator highlighting $34 million in "soft" incentives including $18 million on trips spend by nine big life insures over a two-year period.
New Zealand's major life insurers include AIA, AMP, Asteron Life, Fidelity Life, OnePath, Partners Life and Sovereign.