Preheat oven to 425 F. Spray 10 of the molds of a muffin tin with non stick spray.
Defrost the puff pastry until very soft. On a well floured board, roll it out as you would pie dough, until it is very thin.
Using a 4" cookie cutter, cut out squares and press into the molds of the prepared muffin tin. Keep on rolling the dough back into a ball and then rolling it into a thin sheet until all the dough has been used.
In a large bowl, combine apple, lemon juice and Cookie Notti. Mix well until thoroughly combined. Place about 2 tablespoons of this apple mixture into each muffin mold. Top with about 1 teaspoon of the grated cheese.
Bake in oven for 15 minutes.