N.M. Stat. § 38-4-5
[Suits against partners; joinder; enforcement of judgment;
service of process.]
Suits may be brought by or against a partnership as such, or against all or either of
the individual members thereof; and a judgment against the firm as such may be
enforced against the partnership's property, or that of such members as have appeared
or been served with summons; but a new action may be brought against the other
members in the original cause of action. When the action is against the partnership as
such, service of summons on one of the members, personally, shall be sufficient service
on the firm.