N.M. Stat. § 42-8-3
Whenever the property, goods or chattels of any person not a party to the record are wrongfully seized by any officer under or by virtue of any writ of execution, mesne or other process from any court, except under a writ of replevin, such person or persons may maintain a suit in replevin for the possession of the same against such officer, by proceeding in the usual manner as now provided by law for bringing suits in replevin and making an additional affidavit that such goods and chattels have not been seized under any process, execution or attachment against the property of the plaintiff, and that the defendant or defendants in the original process by virtue of which the same were so wrongfully seized by the officer have no interest, right or title and had no interest, right or title in the said chattels at the time of such wrongful seizure and that said plaintiff is entitled to the possession thereof or is the owner of the same: provided, that in any action of replevin, any third person claiming an interest in property replevied or the right to the possession of the same may intervene in such suit as in other suits of intervention, and; provided, further, that nothing herein shall be construed to prevent any third person in such suits from giving a forthcoming bond and retaining possession of the goods as provided by law.
NMS § 42-8-3