Place 2 slices ciabatta on a clean work surface and place 2 slices mozzarella on each slice. Divide the Parma ham between the bread, then add a generous amount of sundried tomatoes. Top each slice of bread with 2 slices smoked provolone.
Smash the garlic on a chopping board and scatter over the salt. Using the flat side of the knife, press the salt into the garlic until it becomes a purée.
Spread the purée over the remaining slices of bread and use to top the sandwiches.
Heat the olive oil and butter in a pan over a medium heat. Toast the sandwich for 1 minute without disturbing it. Once it’s crispy and golden, turn the sandwich over and cover with a lid and toast until the cheese is melted. Serve immediately.