N.M. Stat. § 44-7A-23
Confirmation of award.
After a party to an arbitration proceeding receives notice of an award, the party may
make a motion to the court for an order confirming the award at which time the court
shall issue a confirming order unless the award is modified or corrected pursuant to
Section 21 or 25 [44-7A-21 or 44-7A-25 NMSA 1978] or is vacated pursuant to Section
24 [44-7A-24 NMSA 1978].