N.M. Stat. § 66-3-5
Application for specially constructed, reconstructed or
foreign vehicles.
A. In the event the vehicle to be registered is a specially constructed, reconstructed
or foreign vehicle, such fact shall be stated in the application and, with reference to
every foreign vehicle which has been registered heretofore outside of this state, the
owner shall surrender to the division all registration cards and certificates of title, or
other evidence of such foreign registration as may be in his possession or under his
control, except as provided in Subsection B of this section.
B. Where in the course of interstate operation of a vehicle registered in another
state it is desirable to retain registration of said vehicle in such other state, such
applicant need not surrender but shall submit for inspection evidence of such foreign
registration and the division, upon a proper showing, shall register said vehicle in this
state but shall not issue a certificate of title for such vehicle.