N.M. Stat. § 42-2-10
Intervention.
All persons in occupation of, or having or claiming an interest in, any of the property
described in the petition or in the damages, if any, for the taking thereof, though not
named, may appear, plead and defend, each in respect to his own property or interest,
or that claimed by him, in like manner as if named in the petition, at any time prior to
trial.