Infuse with Garlic: Add the minced garlic to the skillet and cook, stirring frequently, until fragrant—about 1-2 minutes.
Create the Sauce Base: Pour in the balsamic vinegar and let it cook down for another 2-3 minutes. Then, add the vegetable stock and bring everything to a gentle simmer—let it bubble away for about 5 minutes.
Blend Until Smooth: Carefully transfer the cooked pepper mixture to a blender. Blend on high until you achieve a smooth consistency.
Finish the Sauce: Return the blended sauce to the pan over low heat. Stir in the heavy cream and grated parmesan cheese, mixing until smooth and integrated.
Cook the Linguine: In a large pot of salted boiling water, cook the linguine according to package instructions until al dente. Reserve about a cup of the pasta water before draining.
Combine Pasta and Sauce: Add the drained linguine to the creamy red pepper sauce. Toss everything together, adding reserved pasta water a little at a time until you reach your desired consistency.
Garnish and Serve: Fold in the finely chopped parsley. Serve the pasta with generous dollops of burrata cheese on top, a sprinkle of extra parmesan cheese, and a few fresh herb leaves for garnish.
Notes
Pair with a light green salad drizzled with lemon vinaigrette and a crisp white wine.