Remove 0.25 teaspoons of the zest from the lemon and squeeze 2 tbsp of juice.
Wash scallops and dry on a paper towel. Sprinkle 1/8 teaspoon of salt and pepper on all sides.
Heat 2 teaspoons butter in a large skillet. Place the scallops in a preheated pan, fry for 3-4 minutes on each side. Transfer the scallops to a plate, cover to keep warm.
Pour wine and reserved lemon juice into the same pan and bring to a boil. Reduce heat, simmer the sauce for about 2 minutes, scraping the fat off the sides of the pan. Dilute starch in 1 tablespoon. a spoon of water, add this mixture to the pan, cook, stirring occasionally, for a couple of minutes, until the sauce thickens.
Add lemon zest and the remaining 1 teaspoon of butter to the sauce. Add basil, 1/8 teaspoon salt, and pepper. Remove the pan from the stove.
Serve scallops with noodles (optional) with sauce.