Somerset is 20 miles south of the city limits of San Antonio. In case you haven’t guessed already, you’ll find more dog parks in this neighborhood! Madison Square Dog Park is located at 400 Lexington. This dog park is conveniently located in the heart of the city, near many restaurants, hotels, and tourist attractions. This dog park provides resident and visitor dogs a chance to run off-leash. Dogs play and socialize in one grassy fenced area. There is no separate area for small dogs. The dog park has water fountains for dogs and people. This 26-acre park also has benches and picnic tables where owners can rest while they watch Fido. The main park has paved tree-lined walkways for easy outdoor walking. Dogs must be on leash when outside the dog park.