Butter one side of each slice of bread.
Spread fig jam evenly onto both pieces of bread.
Layer two slices of bread with prosciutto, Gruyere, and Provolone. Top with remaining slices.
Heat large pan to medium heat. Brush pan with butter.
Place the sandwiches in the pan and cover. Grill until bread is golden brown, about 4 minutes.
Using a spatula, flip sandwich over and grill other side until cheese has melted and bread is golden brown.
Slice in half and serve.