Preheat broiler. In a medium skillet cook onion and garlic in olive oil and sesame oil over medium heat for 4 to 5 minutes or until onion is tender. Remove from heat. Add cream cheese and feta cheese; stir until mixture is nearly smooth. Stir in olives, sweet peppers, and dillweed. Set aside.
Using a long serrated knife, split pita rounds in half horizontally to form two circles. Place, cut side up, on a large ungreased baking sheet. Broil 3 inches from heat for 1 minute or until pita rounds are lightly toasted.
Spread each pita round with about 1/3 cup of the cheese mixture. Broil about 1 minute more or until hot. To serve, use a sharp knife or kitchen scissors to cut each round into 6 wedges. Makes 36 appetizers.