N.M. Stat. § 42-7-4
[Effect of decree; compelling conveyance.]
Whenever in an action under the provisions of this act [42-7-1 to 42-7-4 NMSA 1978]
a decree of specific performance is made it shall act upon the land itself and the court
may compel a conveyance of the real estate by attachment or appoint a commission to
make the conveyance.