N.M. Stat. § 31-16-9
Contractual services of counsel.
In order to facilitate representation in matters arising before appearance in any court
in matters covered by the Indigent Defense Act, the director of the administrative office
of the courts may, upon direction of the supreme court with respect to habeas corpus
proceedings initiated in the supreme court, or upon request of a district court, enter into
contracts with attorneys designated by these courts whereby the attorney shall
undertake to perform the services of assigned counsel in all or any specified portion of
the cases originating within the judicial district. All contracts shall be approved by the
chief justice of the supreme court and all payments provided therein shall be made by
the supreme court or in the appropriate district court requesting the contract, but in no
instance shall contract payments exceed the maximums set out in Section 65 [31-16-8
NMSA 1978] of the Indigent Defense Act.