Cut two heart-shaped pieces of parchment paper large enough to contain one portion of fish and vegetables when folded in half. Brush the edges of each piece with butter.
In a small bowl, toss vegetables together. Place half the amount of vegetables on one half of the paper. Season fish with salt and pepper and place on top of vegetables. Place 2 tablespoons basil butter on top of fish. Repeat for the second piece of fish.
Fold each piece of paper in half and crimp or fold edges in 1 1/2 to 2-inch sections to seal. Place "papillottes" on sheet pan and bake at 450°F for 8-10 minutes.
When baked, the parchment paper should puff up and brown. Remove from oven and serve immediately. Let each person open papillottes themselves. Serves 2.
Note: Julienne = sliced into matchsticks
Approximate Nutrient Analysis per serving (with 2 Tbsp basil butter and not including salt to taste):
400 calories, 28 g fat, 13 g saturated fat, 150 mg cholesterol, 250 mg sodium, 3 g carbohydrate, 1 g fiber, 1 g sugar, 33 g protein