Asparagus nest: Wash and peel asparagus. Use a vegetable peeler to shave thin strips. Blanch for 30 seconds in boiling water, then chill in ice water. Pat dry well.
Assemble: Butter a 2 oz aluminum baking cup. Coil the shaved asparagus to create a nest with a center cavity. Crack the quail egg into the middle.
Bake: Set the cup in a water bath and bake at 300°F for about 10 minutes, until the white is just set.
Finish: Rest 1–2 minutes, unmold, plate, and drizzle lightly with white truffle olive oil. Serve immediately.