N.M. Stat. § 42-9-12
[Requiring additional security.]
Any person, plaintiff or defendant, in any attachment 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.