N.M. Stat. § 53-17-11
Service of process on foreign corporation.
The registered agent appointed by a foreign corporation authorized to transact
business in this state shall be an agent of the corporation upon whom any process,
notice or demand required or permitted by law to be served upon the corporation may
be served. Nothing in this section limits or affects the right to serve any process, notice
or demand, required or permitted by law to be served upon a corporation in any other
manner now or hereafter permitted by law.