Preheat the oven to 400 degrees. Cover two baking sheets with aluminum foil.
In a large bowl, mix together the breadcrumbs and milk. Add in the beaten eggs, onion, Parmesan cheese, parsley, tomato paste, garlic, dried (or fresh) basil, dried oregano, allspice, cayenne pepper, salt, and pepper.
When this mixture is combined, add the ground turkey and use your hands to thoroughly combine the seasonings with the meat.
Using a small scoop, form one-inch diameter meatballs, rolling between your hands to shape. Place the meatballs on the baking sheets, spacing them evenly with about an inch between the meatballs.
Bake for 25 minutes, rotating pans from front to back and from top to bottom shelf halfway through cooking.