Divide crust into 8 pieces and shape each piece into a ball. Press the balls into the bottom and up the sides of an 8-cup mini muffin tin. Set aside.
In a large bowl, combine chicken, ricotta, Cheddar, 1/4 cup of the Parmesan, eggs, Dijon, parsley, salt, and black pepper. Mix well. Spoon mixture into prepared muffin cups and top with remaining Parmesan. Bake 20 minutes, until a knife inserted near the center of 1 cup comes out clean and crust is golden brown.
Meanwhile, in a blender, combine tomatoes, basil, garlic powder, vinegar, and oil. Process until smooth. Season to taste with salt and pepper and serve over greens.