Step 1
Bring a large pot of generously salted water to a boil. Cook the bucatini until just al dente. Before draining, reserve a small amount of the pasta water to adjust the sauce later if needed.
In a food processor, combine the basil, garlic, ½ cup Parmesan, and ⅓ cup olive oil. Blend until smooth and cohesive. Set aside.
Heat the rest of the olive oil in a skillet over medium-high heat. Add the prosciutto and cook until lightly crisped. Transfer to a plate and set aside.
In the same skillet over medium heat, melt the butter. Once melted, stir in the chicken broth and allow it to warm through. Add the cream and whisk in the remaining Parmesan until melted and smooth.
Stir in the basil mixture to your desired intensity. Season with salt, black pepper, and a pinch of crushed red pepper flakes. Let the sauce gently simmer for several minutes until slightly thickened.
Step 6
Add the drained pasta directly into the sauce. Toss to coat thoroughly. If the sauce feels too thick, gradually incorporate a splash of reserved pasta water until silky.
Step 7
Plate the pasta and top with crisped prosciutto and generous pieces of burrata.