I have planed on a Cuban sandwich as an addition to my menu for some time just never got around to doing it. But I thought they could be done on a ribbed sandwich press? I do my hot dogs on my panini grill and I also use it for other sausages, but again it's ribbed, not just flat.
I found this site http://icuban.com/food/cuban_sandwich.html
and this quote
"To make the traditional toasted and flattened Cuban sandwich, restaurants use a special press, called a plancha.What makes the Cuban sandwich great is that they are pressed between two hot plates on a device called a ‘plancha.’ You end up with a sandwich that is thin, hot, crispy, and oozing delicious melted cheese.
Glenn Lindgren: No plancha at your place? No problem! We've had great success pressing them on a griddle with a bacon press, or heavy cast iron pan. Many home cooks use a brick wrapped in aluminum foil.
Raúl Musibay, one of the owners said "Of course there is only one bread that works best, and that's Cuban bread. If you can't get your hands on any, a fresh loaf of French bread can be substituted, with less than ideal results :"
I love the "with less than ideal results" LOL