Heat oven to 350°F. In large bowl, mix Filling ingredients.
Remove 1 can of biscuits from refrigerator just before filling (keep remaining can of biscuits refrigerated). Separate each biscuit into 2 layers. Press each layer into 4-inch round, being careful not to tear dough. Spoon 1 rounded tablespoon filling on center of each dough round. Bring sides of dough up over filling, stretching gently if necessary, and gather in center above filling to form wonton shape; press gathered dough to seal. Place bites 2 inches apart on ungreased cookie sheets.
Repeat step 2 with other can of biscuits and remaining filling.
Brush each bite with egg. Top with 1/4 cup Parmesan cheese.
Bake 18 to 22 minutes or until sides and tops of bites are golden brown. Serve warm.