Terillis Restaurant and Bar in Dallas, TX. Eclectic Italian Cuisine serving Steaks and Seafood for over 30 years. Terillis is a Dallas Staple on Lower Greenville. Terillis features a Signature Creation Italchos as seen on Food Paradise. The Italian Nacho is a house made pizza dough, rolled thin and cut into chips. Lightly fried and topped with delicious pizza toppings. Rooftop Patio seating Private Events