01 - Combine parsley, chives, tarragon, garlic, lemon juice, Dijon mustard, and extra virgin olive oil in a mixing bowl. Season with salt and black pepper to taste. Whisk vigorously until well emulsified and set aside.
02 - Carefully separate the egg yolks from the whites, keeping each yolk intact. Place the yolks on a plate and transfer to the freezer for 30 minutes until firm but not completely solid.
03 - Combine the fine breadcrumbs and grated Parmesan cheese in a shallow bowl. Mix evenly to distribute the cheese throughout the coating.
04 - Once the yolks are chilled and firm, gently roll each one in the breadcrumb mixture. Apply a thorough but delicate coating, handling each yolk carefully to avoid breaking.
05 - Heat vegetable oil in a small saucepan or deep-fryer to 340°F. Using a slotted spoon, carefully lower each coated yolk into the hot oil. Fry for 30 to 60 seconds until the exterior is crisp and golden. Remove and drain on paper towels.
06 - While the yolks are chilling, toss the trimmed asparagus with olive oil, salt, and black pepper. Grill or sauté over medium-high heat in a grill pan or skillet for 5 to 7 minutes until tender-crisp and lightly charred.
07 - Arrange the cooked asparagus on serving plates. Place the golden crispy egg yolks on top and drizzle generously with the herb sauce just before serving.