Prepare the Balsamic Cherry Glaze:

1. Combine Ingredients:
   • In a small saucepan, add the balsamic vinegar, lemon juice, and cherries. Stir to combine.
2. Cook the Glaze:
   • Bring the mixture to a boil over medium heat. Once boiling, reduce the heat to low and simmer for 20-25 minutes, or until the glaze has reduced by at least half.
   • Stir occasionally to prevent sticking.
3. Cool the Glaze:
   • Once reduced, remove the saucepan from heat and let the glaze cool slightly. Set aside.

Assemble the Sandwiches:

1. Prepare the Bread:
   • Thinly slice the pears and set aside.
   • Lightly brush one side of each bread slice with the balsamic cherry glaze. Alternate slices to ensure there is enough glaze for all sandwiches.
2. Layer the Ingredients:
   • Place one slice of bread, glazed side facing up, on a clean surface.
   • Add the first layer of gouda cheese (2 slices), followed by pear slices, shaved aged gouda, an additional layer of gouda cheese (2 slices), and one slice of ham.
3. Top the Sandwich:
   • Place another slice of bread on top, ensuring the glazed side faces the cheese filling.

Cook the Sandwiches:

1. Prepare the Butter Mixture:
   • In a small bowl, mix the melted butter with a pinch of finishing salt and freshly ground black pepper.
2. Butter the Bread:
   • Brush the outer sides of each sandwich generously with the butter mixture.
3. Grill the Sandwiches:
   • Heat a grill pan or nonstick frying pan over low heat.
   • Place the sandwiches in the pan and cook slowly until the bottom is golden brown and the cheese begins to melt, about 3-4 minutes.
   • Flip carefully and grill the other side until golden and the cheese is fully melted, another 3-4 minutes.
4. Serve Immediately:
   • Remove the sandwiches from the heat and let rest for 1-2 minutes. Slice in half and serve warm.