New Mexico HB 1269 would allow fusion. It is introduced by Rep. Al Park (D-Albuquerque). However, if the candidate is not a member of the party whose nomination is being sought, officers of the party could block that person from seeking its nomination. Also, parties would be entitled to have a bylaw prohibiting any non-member from running for its nomination.
The proposed restrictions on seeking the nomination of another party are similar to the Wilson-Pakula restrictions in New York.