In a bowl, combine beef, dill, parsley, shallot, salt and pepper; form into 12 patties.
In a large skillet, heat 2 tbsp evoo over med-hi heat; add 6 patties and cook for 2 minutes, then flip and cook for 1-2 minutes more. Repeat to complete all 12 patties.
Spread some mustard on the roll bottoms and arrange on a broiler pan; place a patty on each and top with the cheese. Melt the cheese under the broiler, about 30 seconds. Cover with tomato slices and roll tops.