Victims of ex-cyclone Lusi are being advised no to be too hasty in throwing out damaged goods.
About 70 claims had been received by insurers so far across the country, with the majority related to wind damage and leaking roofs, a spokeswoman for AIG said.
"At this stage, the majority we've received have been from our customers in the North Island, mostly in the upper North Island,'' the spokeswoman said.
A spokeswoman for Vero said it was still early for most claims to be lodged, but a handful had so far come in.
More were expected in the next few days, but the company did not anticipate receiving a large number of claims.