01 - Preheat your oven to 375°F (190°C). Line a baking sheet with parchment paper.
02 - Steam cauliflower florets until they are tender, which should take about 8 to 10 minutes. Allow them to cool slightly before proceeding.
03 - Transfer the steamed cauliflower to a clean kitchen towel and thoroughly squeeze out as much excess moisture as possible.
04 - Place the dried cauliflower in a food processor and pulse until it achieves a smooth consistency.
05 - Add the flour, grated Parmesan cheese, egg, salt, and black pepper to the food processor. Pulse until a soft, cohesive dough begins to form.
06 - Turn the dough out onto a lightly floured surface. Divide it into four equal portions. Roll each portion into a log approximately 1/2 inch (1.5 cm) in thickness. Cut the logs into 1-inch (2.5 cm) pieces.
07 - Gently press each piece of gnocchi with the tines of a fork to create characteristic ridges.
08 - Bring a large pot of salted water to a rolling boil. Carefully add the gnocchi in batches. Cook until they rise to the surface, which typically takes 2 to 3 minutes. Remove the cooked gnocchi with a slotted spoon and set aside.
09 - On the prepared baking sheet, spoon 2-tablespoon portions of grated Parmesan cheese, flattening each into a thin circle. Bake for 5 to 7 minutes, or until golden brown. While the crisps are still warm, gently drape them over a rolling pin to form a sail shape. Allow them to cool completely.
10 - In a large skillet, melt the butter with the olive oil over medium heat. Add the thinly sliced garlic and cook until fragrant. Introduce the cooked gnocchi to the skillet and sauté until they are lightly golden.
11 - Divide the sautéed gnocchi among serving plates. Garnish with fresh basil leaves and extra grated Parmesan. Top each serving with a Parmesan crisp sail.