1. Preheat oven to 350°F. Using a sharp knife, cut wonton wrappers diagonally in half to form 60 triangles. Coat a baking sheet with nonstick cooking spray. Arrange one-third of the triangles in a single layer on prepared baking sheet.
2. In a small bowl, stir together oil, garlic, and basil. Lightly brush the wonton triangles on baking sheet with some of the oil mixture; sprinkle with some of the Parmesan or Romano cheese.
3. Bake about 8 minutes or until golden. Cool completely on a wire rack. Repeat with the remaining wonton triangles, oil mixture, and Parmesan or Romano cheese.