Marry Me Broccoli

Name: Marry Me Broccoli
Ingredients: 3 tablespoons oil from sun-dried tomato jar, divided; ⅔ cup drained julienne-cut sun-dried tomatoes in oil with herbs; 8 cups broccoli florets , divided; 1 large shallot , chopped (about ½ cup ); 1 tablespoon minced garlic; 1¼ cups lower-sodium vegetable broth; 1 teaspoon Italian seasoning; ½ teaspoon paprika; ¼ teaspoon crushed red pepper , plus more for garnish; ¼ teaspoon salt; ¼ cup heavy cream; 3 tablespoons roughly chopped fresh basil , divided; ½ cup grated Parmesan cheese , divided