N.M. Stat. § 45-5A-402
Registration of protective orders.
If a conservator has been appointed in another state and a petition for a protective
order is not pending in New Mexico, the conservator appointed in the other state, after
giving notice to the appointing court of an intent to register, may register the protective
order in New Mexico by filing as a foreign judgment in a New Mexico court, in any
county in which property belonging to the protected person is located, certified copies of
the order and letters of office and of any bond.