New Zealand Law
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They do not have any right to claim a lien on your UK assets just based on a claim in New Zealand. If they wanted to obtain some form of charging order against your property, they would need to get a judgement in New Zealand, and then apply to a court in the United Kingdom to enforce the judgement, and from there, obtain a charging order or the equivalent. This can be a very expensive exercise and in my experience is only done where there are very large sums of money