Make filling: In a hot skillet, add the oil and heat. Add chicken, garlic, ginger, and shallots; sauté till chicken is thoroughly cooked. drain off excess fat and mix chicken with peanut butter, brown sugar, chili paste, basil, & cilantro. Chill for 20 minutes.
Place a small amount of the filling in the center of a wonton. Bring the edges up around the filling, using a dab of water to "glue" edges.
In a pot fitted with a steamer basket, bring two inches of water to a boil. Steam potstickers in basket until wrappers are translucent, 8 minutes. Serve with dipping sauce.
For dipping sauce: purée all ingredients in food processor for 1 minute. Serve.