Finely chop the shallot. If using fresh green peppercorns, rinse and pat them dry.
Melt the butter in a medium saucepan over medium heat. Add the chopped shallot and sauté until translucent, about 3-4 minutes.
Pour in the white wine and stir to combine with the shallots. Simmer over medium heat until the wine has reduced by about half, approximately 5-7 minutes.
Add the green peppercorns, then pour in the heavy cream. Reduce the heat to low and simmer for another 5-7 minutes, or until the sauce has thickened to your liking.
Season the sauce with salt and pepper. Taste and adjust the seasoning as needed.
For a smoother sauce, strain it through a fine-mesh sieve. Alternatively, leave it as is to enjoy the texture of the green peppercorns.
Serve warm with grilled meats, steaks, or roasted vegetables.
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