1. Heat oil in a large skillet over medium heat. Add broccoli Romanesco and garlic, and cook until brightly colored and beginning to turn golden brown, about 8 minutes. Remove and reserve a few pieces for garnish. Add water and 1 teaspoon salt to skillet. Cover, and cook until tender, about 10 minutes. Drain any remaining liquid from skillet.

2. Puree half the broccoli Romanesco in a food processor, and then transfer to a large bowl. Puree remaining broccoli Romanesco. Bring milk and cream to a gentle simmer in a saucepan. Add milk-cream mixture to food processor with puree, and pulse to combine. Stir mixture into first batch of puree.

3. Stir in Parmigiano-Reggiano, and season with salt and pepper. Garnish with reserved broccoli Romanesco and more cheese. Serve immediately.