New Mexico Statutes Chapter 59A. Insurance Code § 59A-43-11. Nonduplication of recovery

A. Any person having a claim against any insurer under any provision in an insurance policy including but not limited to uninsured motorist coverage other than a policy of an insolvent insurer which is also a covered claim, shall be required to exhaust first his rights under the policy. An insured of an insolvent insurer and possessing no other insurance coverage applicable to a specific claim shall be deemed to be “uninsured” for uninsured motorist coverage purposes. Any amount payable on a covered claim under this article shall be reduced by the amount of any recovery available under such insurance policy. No action against an insured of an insolvent insurer shall be tried prior to the exhaustion of all other available sources of recovery.

B. Any person having a claim which may be recovered under more than one insurance guaranty association or its equivalent shall seek recovery first from the association of the place of residence of the insured except that, if it is a first party claim for damage to property with a permanent location, he shall seek recovery first from the association of the location of the property, and, if it is a workmen's compensation claim, he shall seek recovery first from the association of the residence of the claimant. Any recovery under this article shall be reduced by the amount of recovery from any other insurance guaranty association or its equivalent.