N.M. Stat. § 52-1-31

A. If an employer or his insurer fails or refuses to pay a worker any installment of compensation to which the worker is entitled under the Workers' Compensation Act, after notice has been given as required by Section 52-1-29 NMSA 1978 , it is the duty of the worker insisting on the payment of compensation to file a claim therefor as provided in the Workers' Compensation Act not later than one year after the failure or refusal of the employer or insurer to pay compensation. This one-year period of limitations shall be tolled during the time a worker remains employed by the employer by whom he was employed at the time of such accidental injury, not to exceed a period of one year. If the worker fails to give notice in the manner and within the time required by Section 52-1-29 NMSA 1978 or if the worker fails to file a claim for compensation within the time required by this section, his claim for compensation, all his right to the recovery of compensation and the bringing of any proceeding for the recovery of compensation are forever barred.

B. In case of the death of a worker who would have been entitled to receive compensation if death had not occurred, claim for compensation may be filed on behalf of his eligible dependents to recover compensation from the employer or his insurer. Payment may be received or claim filed by any person whom the director or the court may authorize or permit on behalf of the eligible beneficiaries. No claim shall be filed, however, to recover compensation benefits for the death of the worker unless he or someone on his behalf or on behalf of his eligible dependents has given notice in the manner and within the time required by Section 52-1-29 NMSA 1978 and unless the claim is filed within one year from the date of the worker's death.