N.M. Stat. § 42-8-8
[Requiring additional security.]
Any person plaintiff or defendant in any replevin suits pending in any court in this
state, may at any time before judgment, after reasonable notice to the person by whom
any bond has been given in any such suit, move the court for additional security on the
part of any such principal in such bond, and if, on such motion, the court is satisfied that
any surety on such bond has removed from the state or that for any other reason such
bond is not sufficient security for the amount thereof, it may direct a new and sufficient
bond to be given within a reasonable time, to be fixed by the court, and in default
thereof may make such order disposing of the property, the possession of which is held
by virtue of such bond, as the failure to give such additional security may require and
such orders may be made in vacation as well as in term time.