1. Preheat oven to 350 degrees F.
2. Heat oil in a large oven-proof skillet over medium-high heat. Season pork loin with salt and pepper and lie, fat side down, in skillet. Cook until golden brown on all sides, 2 to 3 minutes per side. Transfer to a plate; set it aside.
3. Add onion, carrot, celery, garlic, and herbs to skillet. Cook, stirring frequently, until vegetables soften, about 5 minutes. Remove from heat and add wine. Bring to a boil and scrape bits with a wooden spoon from pan bottom. Cook until wine reduces by half. Add broth and bring to a boil. 3. Return loin and drippings to skillet. Transfer to oven and roast to between 145 degrees F and 150 degrees F, about 40 minutes. Transfer loin to a plate; tent with foil.
4. Strain pan juices (discard solids) into a small saucepan. Boil until reduced by a third. Reduce heat to medium-low and whisk in mustard. Stir in butter and season with salt and pepper, to taste. Keep warm but do not boil.
5. Untie and slice roast, arrange on a platter and season with salt and pepper, to taste. Stir drippings into sauce and pour over meat. Serve with applesauce.
1. Remove apples' stems and coarsely chop with their skin and seeds.
2. Bring all ingredients with 3 tablespoons water in a large saucepan to a boil. Reduce heat and simmer until apples are soft, about 20 minutes. Uncover and cook, stirring frequently, until liquid evaporates, about 10 minutes. Cool slightly.
3. Pass through a food mill; discard peels and seeds. Serve warm or at room temperature.
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