In a high-speed blender, purée parsley, cilantro, garlic, extravirgin olive oil, lemon juice, and salt and pepper to taste until smooth. Set aside.
Slice drained tofu into 12 slices. Lay slices on a rimmed baking sheet lined with a clean kitchen towel. Top tofu slices with another clean towel. Place another baking sheet on top. Set a heavy skillet on baking sheet to remove water from tofu. After 15 minutes, remove tofu and pat dry.
Brush tofu with 1 tablespoon of vegetable oil. Season to taste with salt and pepper. Lightly oil grill grates with additional vegetable oil.
Grill tofu slices 3 minutes per side, or until lightly charred. Remove tofu from grill. Brush with herb sauce. Serve remaining sauce on side.
Nutrition Info
198 Calories, 9 g Protein, 4 g Carbohydrates, 2 g Fiber, 18 g Total fat (3 g sat), 313 mg Sodium, ★★★★★ Vitamin K, ★★ Vitamin C, Calcium, ★ Vitamin E, Folate, Iron, Magnesium, Phosphorus