N.M. Stat. § 59A-40-4
Prior to issuance of license, the insurer shall file with the superintendent a power of attorney, in a form designated by the superintendent, designating the superintendent and his successors in office as attorney-in-fact for such insurer upon whom service of process may be had upon suits for any alleged liability incurred in operations of the insurer pursuant to this article, with like effect as if such process had been served personally upon the appropriate persons, representatives or officials of such insurer within its home jurisdiction in Mexico. In [the] event process is served upon the superintendent, as provided above, he shall immediately give written notice thereof to such insurer and shall forward such process by registered mail, postage prepaid, and properly addressed to the president of such insurer at its home office as furnished to the superintendent; and no judgment by default shall be taken in any such cause until after the expiration of forty (40) days after the process and notice have been received at such home office. Until rebutted, the presumption shall obtain that such notice and process was received at the home office of the insurer on the tenth (10th) day after being deposited in the mail at Santa Fe, New Mexico, as herein provided.
NMS § 59A-40-4