Place shallots and garlic on a piece of aluminum foil; drizzle with 1 teaspoon oil, and sprinkle with 1/4 teaspoon salt and 1/4 teaspoon pepper. Fold foil to seal.
Bake at 400° for 40 minutes or until garlic is very soft; cool. Squeeze pulp from garlic and shallots into a blender or food processor. Add tamari and next 4 ingredients; process until smooth, stopping once to scrape down sides. With blender running, add remaining oil in a slow, steady stream; process until smooth. Stir in remaining 1/4 teaspoon salt and 1/4 teaspoon pepper.
*Soy sauce may be substituted.