Make use of unripened green tomatoes, grilled and dressed with basil sauce, in this simple side that goes well with fried chicken or grilled steak.
Heat a grill or grill pan to medium-high. Clean and lightly oil hot grill. In a food processor, combine mayonnaise, basil, garlic, and lemon juice, and process until basil is finely chopped and sauce is smooth (add 1 to 2 teaspoons water if needed). Cut green tomatoes into 1/2-inch-thick slices, brush with vegetable oil and season with salt and pepper. Grill until lightly charred and softened, 2 to 3 minutes per side. Transfer to a platter and spoon sauce over top.