If using fresh peaches, slice two of them. Set aside. Coarsely chop the remaining peach. Fro frozen fruit, set aside 2 cups.
Pour the orange juice into a blender. Add the chopped peach or 1 cup of the sliced frozen peaches. Blend until smooth. Pour into a saucepan; add the cornstarch and nutmeg. Cook, stirring constantly, until thickened. Add the remaining sliced peaches. Heat through. Serve warm.