1322 Avenue L Charming 7-Unit Apartment Building in Prime Galveston Location Nestled on a quiet residential street, this 7-unit apartment building presents a rare opportunity in one of Galveston’s most desirable areas. Each unit features a thoughtfully designed layout, with several offering private porches or decks that blend coastal charm with modern comfort. Residents enjoy off-street, assigned parking in the rear, a highly sought-after amenity that adds convenience and value in this central location. The building’s mix of floor plans (1 / 2 / 3 bedroom apartments) appeals to a diverse range of tenants—from medical professionals to those seeking a serene island retreat. With UTMB, the beach, and downtown Galveston all within short distance, this property delivers the ideal combination of accessibility, rental stability, and long-term investment potential.