In a small bowl, combine the pumpkin, brown sugar, cinnamon, nutmeg, salt, and ginger.
Spread 2 tablespoons of the pumpkin mixture on one slice of bread. Place 1 ounce of the ham on top of the pumpkin, and then a single layer of pears, and 1 slice of the cheese. Top with another slice of bread.
Spread butter on the top and bottom of the sandwich and grill on a skillet or grill pan for about 3-4 minutes on both sides, or until the cheese is melted and the sandwich is grilled.
Repeat with remaining ingredients, making 4 sandwiches.