N.M. Stat. § 42-9-19
[Default after service by publication; judgment; effect.]
When the defendant shall be notified, by publication as aforesaid, and shall not
appear and answer the action, judgment by default may be entered, which may be
proceeded on to final judgment as in ordinary actions, but such judgment shall only bind
the property attached, and shall be no evidence of indebtedness against the defendant
in any subsequent suit.