N.M. Stat. § 50-3-2
If a complainant shall also allege that unless a temporary restraining order shall be issued before such hearing may be had, a substantial and irreparable injury to complainant's property will be unavoidable, such temporary restraining order may be granted as the court may direct by order to show cause.
Such order to show cause shall be served upon such party or parties as are sought to be restrained and as shall be specified in said order, and the restraining order shall issue only upon testimony, or in the discretion of the court, upon affidavits, sufficient, if sustained, to justify the court in issuing a temporary injunction upon a hearing as herein provided for.
No temporary restraining order or temporary injunction shall be issued except on condition that complainant shall first file an undertaking with adequate security, to be fixed by the court, sufficient to recompense those enjoined for any loss, expense or damage caused by the improvident or erroneous issuance of such order or injunction, including all reasonable costs and expenses against the order or against the granting of any injunctive relief sought in the same proceeding and subsequently denied by the court.
NMS § 50-3-2