Mrs Osaki left the oil on the stove for five fateful minutes and in that time fire took hold, causing "substantial damage" to the house.
The owners had insurance with AMI, which covered the $216,000 cost of the repairs.
But the insurance company applied to the High Court, under the owner's names, for the tenants to compensate them.
Mr and Mrs Osaki protested, saying that was not the right court to hear the matter.
So the matter went to the Tenancy Tribunal, which rules the tenants were liable for the damage.
On to the District Court. It reversed that decision, which resulted in another appeal.
Seven years later the Court of Appeal has dismissed the owner's latest attempt to recoup their costs.
In a judgement released today, the court says it's trying to decide: "Are residential tenants immune from a claim by the landlord where the rental property suffers loss or damage caused intentionally or carelessly by the tenants or the tenant's guests?"
The answer: Yes, sometimes.
The owners have been ordered to pay the tenants' appeal costs.