Cut a slice from the top of the bell pepper; remove seeds and membrane. Cook pepper shell in boiling water for 5 minutes. Drain well.
Heat oil in a medium skillet over medium-high heat, then sauté onion until tender. Remove onions and set aside.
In same skillet, brown and drain ground turkey. Add onions back into the skillet with meat, stirring to combine, and turn off heat. Stir in eggs, parsley, black pepper, and basil.
Fill pepper shell with meat mixture and place in a glass baking dish. Fill dish with hot water to a depth of ¼ inch around pepper. Bake 30 minutes.