Lower Greenville apartments are in a trendy well kept Historic 1920's neighborhood in Dallas. Lower Greenville is located between Ross Avenue and Mockingbird offering a variety of unique apartments and duplexes, shops, and outdoor dining. This area has a lot to offer those seeking to live in Dallas, Texas. A wide variety of restaurants and bars line the Lower Greenville Avenue area. This area offers over 35 apartment communities, with rents averaging $892.40 and average square footage of 559.