Heat oven to 350°F. Cut squash in half and place it cut sides up, in a rectangular pan. Pour water into the pan to 1/4-inch deep. Bake uncovered about 40 minutes or until tender. When it’s cool, remove pulp from rind and set aside.
Melt butter in a saucepan over medium heat. Cook onion in butter for 3 minutes, stirring occasionally, until crisp-tender. Stir in apples, 1/2 cup of dried figs, thyme and basil. Cook for 2 minutes, stirring constantly. Stir in broth. Heat to boiling, then reduce heat to low and simmer uncovered 30 minutes.
Blend the soup in batches on medium speed about 1 minute or until smooth; pour into bowl.
Return blended soup to the saucepan. Stir in half-and-half, nutmeg, cinnamon, salt and pepper. Heat until hot. Serve with the other half of the dried figs as a topping.