Next, butter four slices of seedy bread with Mushroom and Thyme Compound Butter. (You can find a link to the butter recipe here).
Place two slices of bread, butter-side down in a pan. Divide the charred asparagus among the two slices of bread, top with cheese and then the other two slices of bread, butter side up.
Toast the sandwiches over medium heat, flipping as needed to ensure even browning on both sides of the sandwich. You'll know the sandwiches are done when the cheese has melted and the bread is golden brown on both sides. Enjoy!