Whisk together 1 cup beef broth, 1 cup drained oil-packed sun-dried tomatoes, 3 tablespoons tomato paste, 2 tablespoons sun-dried tomato oil, 2 teaspoons minced garlic, 1 teaspoon Italian seasoning, 1 teaspoon paprika, 1 teaspoon salt, and ½ teaspoon ground black pepper in a large bowl, then pour it over the pork.
Cover and cook on LOW for 7-8 hours, or on HIGH for 4-5 hours.
1 hour before the pork is finished cooking, combine ½ cup heavy cream, ⅓ cup grated parmesan cheese, and 2 tablespoons cornstarch in a small bowl. Stir the cream mixture into the slow cooker, then cover and cook for the final hour.
Before serving, skim off any fat and discard it, then use two forks to shred the pork. Garnish with fresh basil before serving.
Notes
Leftover and Make Ahead Instructions
Fridge: Store leftovers in an airtight container for up to 7 days.
Reheat: In the microwave in 30-second increments until fully heated through, or on the stove top over medium heat. Stir frequently. Add a splash of heavy cream, half & half, or chicken broth as needed for moisture.
Freezer: Freeze the cooked and cooled roast in a freezer-safe container or freezer bag for up to 3 months. Thaw completely before reheating.
Make Ahead: Everything in steps 1 and 2 can be added to the slow cooker. Cover and refrigerate for up to 24 hours before cooking.