N.M. Stat. § 40-4-17
[Motion to remove lien; bond for alimony or support
payments.]
The district court upon motion made in the cause wherein the decree was rendered
may remove the liens created by this act [40-4-12 to 40-4-19 NMSA 1978] upon notice
and upon good cause shown from any or all of the real estate, subject to such lien; and
the judge, in his discretion, upon the removal of such lien, may require bond for the
faithful performance of the payment of alimony or support money in accordance with the
decree.