There is a space near the Ermita de la Purisima that can be reached by a 200-meter gravel road. It has tables, barbecues, a garbage container, and a water tap, though it's unclear if the water is drinkable. Staying overnight is not prohibited, but being discreet and clean is encouraged.
To reach the chapel, keep the Visigoth cemetery on your left. It is a quiet place with a fountain and picnic tables, offering shade and flat ground. The views are beautiful, surrounded by nature. It's a highly recommended spot for a pleasant visit.