Pesto Cheese Pastries

12 sheets frozen phyllo dough, thawed
1/2 cup (1 stick) unsalted butter, melted
3/4 cup purchased pesto
6 7x3 1/2-inch Swiss cheese slices
6 tablespoons grated Parmesan
Fresh basil sprigs (optional)

Preheat oven to 375°F. Place 1 phyllo sheet on work surface. (Keep remaining phyllo covered with plastic wrap and damp towel.) Brush phyllo lightly with butter. Top with second phyllo sheet. Brush lightly with butter. Spread 2 tablespoons pesto in 4x8-inch rectangle along 1 short side of phyllo sheet, 1 inch in from edge. Place 1 cheese slice atop pesto. Sprinkle with 1 tablespoon Parmesan. Fold in long sides, then, beginning at cheese end, roll up phyllo jelly roll style. Place seam side down on cookie sheet. Lightly brush top with butter. Repeat with remaining phyllo, butter, pesto and cheese. Bake until golden brown, about 25 minutes.
Slice rolls into 1-inch lengths. Arrange decoratively on platter. Garnish rolls with fresh basil sprigs if desired and serve immediately.