In a small bowl, combine Greek yogurt, honey, and nutmeg.
Place peach halves on platter or serving dishes and sprinkle the top of each with a little salt.
Fill the center of each peach half with the yogurt mixture.
Top with a pecan half or sprinkle with chopped pecans.
Serve with a light drizzle of peach balsamic vinegar. Pear balsamic or white balsamic vinegar can also be used.