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1
Preheat oven to 325u00b0F (160u00b0C). Bring small saucepan of water to a boil. Add pearl onions; return to a boil. Cook 30 to 60 seconds. Transfer with slotted spoon to bowl of ice water to chill. Drain and peel off skins. Set pearl onions aside.
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2
Sprinkle pork with salt and pepper. Heat oil in Dutch oven over medium heat. Add pork and cook turning often until browned all over; about 10 minutes. Transfer to large plate. Set aside.
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3
Heat same Dutch oven over medium heat. Add pearl onions and cook, stirring occasionally until golden; about 5 minutes. Transfer with slotted spoon to small bowl. Set aside.
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4
Smash garlic with flat side of chef's knife. Heat same Dutch oven over medium heat. Add garlic, bay leaves, thyme and sliced onion; cook, stirring occasionally, until onion is softened, 2 to 3 minutes. Add vermouth and cook, stirring and scraping up browned bits from bottom, until liquid is reduced by half; about 3 minutes.
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5
Return pork to Dutch oven. Add milk; bring to a gentle simmer. Cover and transfer to oven. Bake, flipping pork once, until instant-read thermometer inserted in centre of pork reads 160u00b0F (71u00b0C); about 40 to 45 minutes.
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6
Discard bay leaves and thyme sprigs. Transfer pork to cutting board; cover loosely with foil. Let rest 15 minutes.
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7
Meanwhile, transfer milk mixture to blender and add mustard. Remove plastic stopper from blender lid; cover lid with kitchen towel. Puree until smooth. Return to Dutch oven and stir in pearl onions. Bring to a gentle simmer over medium heat. Cook, stirring occasionally, until thick enough to coat back of spoon; about 10 minutes. Stir in lemon juice.
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8
Thinly slice pork and arrange on large serving platter. Spoon milk mixture over top. Sprinkle with parsley.