Finely chop the fresh basil leaves and mince the garlic.
In a medium saucepan, melt the butter over medium-low heat. Add the minced garlic and sauté for 1-2 minutes, until fragrant, being careful not to burn it.
Pour in the heavy cream and stir well. Simmer over low heat until slightly thickened.
Add the chopped basil and stir to combine. Cook for another 3-4 minutes, allowing the basil to infuse the sauce with its aroma.
Grate the Parmesan cheese into the sauce and stir until the cheese is completely melted and the sauce is smooth and creamy.
Season the sauce with salt and pepper to taste. If desired, add a drizzle of olive oil for a richer texture.
Serve warm over pasta, grilled meats, or fish. The sauce is best served immediately, but can be stored in an airtight container in the refrigerator for 1-2 days.
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