N.M. Stat. § 44-7A-21
Change of award by arbitrator.
(a) On motion to an arbitrator by a party to an arbitration proceeding, the arbitrator
may modify or correct an award:
(1)
upon a ground stated in Section 25(a)(1) or (3) [44-7A-25 NMSA 1978];
(2)
because the arbitrator has not made a final and definite award upon a
claim submitted by the parties to the arbitration proceeding; or
(3)
to clarify the award.
(b) A motion under Subsection (a) must be made and notice given to all parties
within twenty days after the movant receives notice of the award.
(c) A party to the arbitration proceeding must give notice of any objection to the
motion within ten days after receipt of the notice.
(d) If a motion to the court is pending under Section 23, 24 or 25 [44-7A-23, 44-7A-
24 or 44-7A-25 NMSA 1978], the court may submit the claim to the arbitrator to consider
whether to modify or correct the award:
(1)
upon a ground stated in Section 25(a)(1) or (3) [44-7A-25 NMSA 1978];
(2)
because the arbitrator has not made a final and definite award upon a
claim submitted by the parties to the arbitration proceeding; or
(3)
to clarify the award.
(e) An award modified or corrected pursuant to this section is subject to Sections
20(a), 23, 24 and 25 [44-7A-20, 44-7A-23, 44-7A-24 and 44-7A-25 NMSA 1978].