Search for condos for rent in La Mesilla, NM on Apartments.com. With 0 available, you can find the right condo with the floor plan and amenities that fit your needs. When you rent a condo, you’ll likely rent from an individual owner rather than a property management company. This means units in the same building may have different features and layouts. Be sure to check out the photos and take a tour of the unit as you search for your La Mesilla home. There are some terrific La Mesilla neighborhoods with condos for rent, including Zocalo and Casa Solana North. If you’re looking for a budget-friendly condo to rent, try looking in affordable nearby cities like Los Alamos and Santa Fe.