Step 1In a small bowl, mix the mayonnaise, chopped capers, chopped parsley, lemon juice and black pepper. Cover and refrigerate until ready to use.
Step 2In another small bowl, mix 2 tablespoons of the olive oil, the vinegar and the garlic. Split the rolls and brush the cut side of each piece of bread with the mixture.
Step 3Lightly grill the cut side of the bread and set aside.
Step 4Place a slice of goat cheese on the bottom half of each roll. Top with several slices of the roasted red pepper, covering the whole surface and trimming to fit, if necessary. Cover the red peppers with a layer of basil leaves.
Step 5Spread 1 teaspoon of the caper mayonnaise on the top half of the roll and close. Brush the outside of the roll with the remaining olive oil.
Step 6Heat the grill pan over medium-high heat. Place 2 sandwiches in the pan. Place something heavy on top (like that old chemistry book, double-wrapped in foil) and cook until there are distinct grill marks on the bottom and the rolls are golden brown, about 1 minute per side. Turn the sandwiches over and repeat. Toast the other 2 sandwiches the same way. Serve hot.