Preheat the broiler. In a bowl, combine the ground beef, dill, parsley, shallot, salt and pepper; form into 12 patties.
In a large skillet, heat 2 tablespoons olive oil over medium-high heat; add 6 patties and cook for 2 minutes, then flip and cook for 1-1/2 minutes more for medium-rare. Repeat with the remaining olive oil and 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 the tomato slices and roll tops.
