N.M. Stat. § 45-5A-403
Effect of registration.
A. Upon registration of a guardianship or protective order from another state, the
guardian or conservator may exercise in New Mexico all powers authorized in the order
of appointment except as prohibited pursuant to the laws of New Mexico, including
maintaining actions and proceedings in New Mexico and, if the guardian or conservator
is not a resident of New Mexico, subject to any conditions imposed upon nonresident
parties.
B. A New Mexico court may grant any relief available pursuant to the Uniform Adult
Guardianship and Protective Proceedings Jurisdiction Act and other law of New Mexico
to enforce a registered order.