Blackberries and shallots together add a distinctive flavor to these pork medallions, cut from tenderloin.
In a small saucepan, melt 1 tablespoon butter over medium. Saute shallots until tender, 8 minutes. Add vinegar, brown sugar, and blackberries and cook until mixture is syrupy and some of the berries have collapsed, 10 minutes. Season with salt and pepper.
Meanwhile, season pork with salt and pepper. In a large skillet, melt 1 tablespoon butter over medium-high. Add half the pork and cook until golden brown and cooked through, flipping once, about 8 minutes. Repeat with remaining 1 tablespoon butter and pork. Serve pork topped with chutney.