Preheat your Griddler with the dials set for high-heat panini griddles.
Set out the bread slices on a cutting board or countertop.
Sprinkle one side of each slice of bread with the dressing. Be heavy-handed or go light with it, it's up to you.
Top with the meats and cheese.
Add the top slices of bread to form the sandwiches.
Brush the outsides of the bread slices with the oil.
Transfer to the Griddler and close the lid. Cook until the bread is golden brown and crunchy.
Remove and let cool slightly before slicing (if desired) and serving.
Notes
Do not put a lot of pressure on the griddle lid while cooking as it will cause the meats and cheese to escape. Try to keep the lid level so that the tops of the sandwiches cook evenly.