La Parrilla Mexican Grill brings the taste of Mexico to you. Authentic Mexican dishes, made from the finest ingredients, and prepared fresh daily. Authentic Mexican restaurant in Nashville. With All Day Happy Hour pricing. La Parrilla Fresh Mexican Grill is Nashville's best place to enjoy an authentic Mexican Dining Experience. La Parrilla Mexican Grill specializes in authentic Mexican food and serves the best Margaritas in town. Our commitment starts from the finest ingredients, along with a dedicated staff, and a casual atmosphere will provide you with a rich dining experience. From tacos to enchiladas, salads to burritos, or our famous fajitas, we have an extensive menu for your entire family. Come enjoy our delicious food for lunch or dinner or have drinks at our Blue Bar where all day every day is happy hour. We also provide take out and catering services. History Established in 2015. La Parrilla Mexican Grill opened May 5, 2015.