Those who bought insurance before the cut-off were covered but were urged to contact their service provider first.
"Airlines, accommodation providers and tour companies may provide refunds, credit notes or alter your bookings without charging additional fees."
Southern Cross said people were currently overseas and had their return to New Zealand affected would automatically have their policy extended until they were able to return on the next available flight.
Meanwhile the Insurance Council has urged travellers caught up in the fuel shortage disruption to contact their airline or travel provider first before going to their insurer.
Chief executive Tim Grafton said: "Travel providers may be able to rebook your arrangements without extra costs."
"If you do suffer extra costs, make sure you keep receipts. As always, check your policy wording and talk to your insurer to understand what costs your insurance policy covers you for," he said.
Grafton also stressed the need for travellers to purchase insurance when they booked and paid for tickets and not just before they travelled.
"Likewise, if you book a trip and buy insurance after events like a fuel shortage have been publicised, you will not have cover for those events," he said.