N.M. Stat. § 59A-22-7
There shall be a provision as follows:
If any renewal premium be not paid within the time granted the insured for payment, a subsequent acceptance of premium by the insurer or by any agent duly authorized by the insurance company to accept such premium, without requiring in connection therewith an application for reinstatement, shall reinstate the policy; provided, however, that if the insurance company or such agent requires an application for reinstatement and issues a conditional receipt for the premium tendered, the policy will be reinstated upon approval of such application by the insurer or, lacking such approval, upon the thirtieth day following the date of such conditional receipt unless the insurance company has previously notified the insured in writing of its disapproval of such application. The reinstated policy shall cover only loss resulting from such accidental injury as may be sustained after the date of reinstatement and loss due to such sickness as may begin more than ten days after such date. In all other respects the insured and insurance company shall have the same rights thereunder as they had under the policy immediately before the due date of the defaulted premium, subject to any provisions endorsed hereon or attached hereto in connection with the reinstatement. Any premium accepted in connection with a reinstatement shall be applied to a period for which premium has not been previously paid, but not to any period more than sixty days prior to the date of reinstatement.
(The last sentence of the above provision may be omitted from any policy which the insured has the right to continue in force subject to its terms by the timely payment of premiums (1) until at least age 50 or, (2) in the case of a policy issued after age 44, for at least five years from its date of issue.)
NMS § 59A-22-7