N.M. Stat. § 38-1-9

A. Before any unauthorized foreign or alien insurer shall file or cause to be filed any pleading in any action, suit or proceeding instituted against it, such unauthorized insurer shall (1) deposit with the clerk of the court in which such action, suit or proceeding is pending cash or securities or file with such clerk a bond with good and sufficient sureties, to be approved by the court, in an amount to be fixed by the court sufficient to secure the payment of any final judgment which may be rendered in such action; or (2) procure a certificate of authority to transact the business of insurance in this state.

B. The court in any action, suit or proceeding, in which service is made in the manner provided in Subsection B or C of Section 2 may, in its discretion, order such postponement as may be necessary to afford the defendant reasonable opportunity to comply with the provisions of Subsection A of this section and to defend such action.

C. Nothing in Subsection A of this section is to be construed to prevent an unauthorized foreign or alien insurer from filing a motion to quash a writ or to set aside service thereof made in the manner provided in Subsection B or C of Section 2 hereof on the ground either (1) that such unauthorized insurer has not done any of the acts enumerated in Subsection A of Section 2, or (2) that the person on whom service was made pursuant to Subsection C of Section 2 was not doing any of the acts therein enumerated.