N.M. Stat. § 40-6A-711
Modification of convention child-support order.
A. A tribunal of this state may not modify a convention child-support order if the
obligee remains a resident of the foreign country where the support order was issued
unless:
(1)
the obligee submits to the jurisdiction of a tribunal of this state, either
expressly or by defending on the merits of the case without objecting to the jurisdiction
at the first available opportunity; or
(2)
the foreign tribunal lacks or refuses to exercise jurisdiction to modify its
support order or issue a new support order.
B. If a tribunal of this state does not modify a convention child-support order
because the order is not recognized in this state, Subsection C of Section 40-6A-708
NMSA 1978 applies.