For the pesto aioli: Blend the parsley, basil, walnuts, pepper, garlic, egg, lemon zest and juice in a blender, then slowly drizzle in oil to make an aioli.
Finish aioli with shredded Parmesan and taste for seasoning (salt and pepper).
For the sandwich: Butter the rosemary-garlic bread generously. Top 4 pieces of bread (butter-side out) with half of the Cheddar, 4 tablespoons pesto aioli, the turkey, sun-dried tomatoes and the remaining Cheddar; close sandwiches with the remaining pieces of bread.
Heat a heavy griddle to 325 to 350 degrees F.
Sprinkle the Parmesan on the griddle in the shape of the bread, then immediately place the sandwich on the cheese. Use a griddle press or heavy weight (like another cast-iron pan) to press down and cook until the cheese is melty, 2 1/2 minutes per side . (If the Parmesan-crusted side does not release easily from the griddle with a spatula, give it another minute, then flip.) Slice on a bias and enjoy!
This recipe was provided by a chef, restaurant or culinary professional. It has not been tested for home use.
Recipe courtesy of The Grilled Cheeserie, Nashville, TN