Heat oven to 375°F. Combine the butter, brown sugar, flour, cinnamon, and nutmeg in small bowl; mix together with fingers until mixture resembles coarse meal.
Dust a board, countertop or other work surface with flour. Carefully remove half of the dough from the package and place on the floured surface. With a lightly floured rolling pin, roll the dough out slightly; transfer to ungreased 13 x 9 x 2-inch metal baking pan. Stretch out dough to cover bottom of pan, making a slight rim around edge. Sprinkle dough evenly with half of the sugar-spice mixture.
Dust the work surface with more flour. Place the remaining half of the dough on the surface. With a lightly floured rolling pin, roll the dough out to 13 x 9-inch rectangle. Dough may shrink, but roll as big as possible. Transfer to the pan; stretch the dough and secure to the edges of the bottom layer of dough. Top with peach pie filling; sprinkle evenly with the remaining sugar-spice mixture. Sprinkle with the almonds.
Bake in 375°F oven 45 minutes or until puffed and lightly golden. Cool in pan on rack. Serve warm.