Buying a home in Algodones, New Mexico does not have to be difficult - Homes.com makes home buying a breeze. With 8 homes for sale in Algodones, New Mexico, you can search by price, bedrooms, neighborhood, and even by property type. Search Algodones homes for sale, foreclosures, MLS listings, and more. Make an informed decision with Algodones school data, neighborhood information, find Algodones real estate agents, and research home values in Algodones, NM. Homes.com has everything you need but the house keys.