N.M. Stat. § 59A-39-13
Service of process; judgment.
A. Legal process shall be served upon a domestic reciprocal insurer by serving the
insurer's attorney at his principal office or by serving the superintendent as the insurer's
process agent under Sections 98 and 99 [59A-5-31 and 59A-5-32 NMSA 1978] of the
Insurance Code.
B. Any judgment based upon legal process so served shall be binding upon each of
the insurer's subscribers as their respective interests may appear, but in an amount not
exceeding their respective contingent liabilities, if any, the same as though personal
service of process was had upon each such subscriber.