N.M. Stat. § 40-6A-211
Continuing, exclusive jurisdiction to modify spousal-
support order.
A. A tribunal of this state issuing a spousal-support order consistent with the law of
this state has continuing, exclusive jurisdiction to modify the spousal-support order
through the existence of the support obligation.
B. A tribunal of this state may not modify a spousal-support order issued by a
tribunal of another state or a foreign country having continuing, exclusive jurisdiction
over that order pursuant to the law of that state or foreign country.
C. A tribunal of this state that has continuing, exclusive jurisdiction over a spousal-
support order may serve as:
(1)
an initiating tribunal to request a tribunal of another state to enforce the
spousal-support order issued in this state; or
(2)
a responding tribunal to enforce or modify its own spousal-support order.