1. In medium glass bowl, beat eggs well.
2. Add dill and melted butter and whisk again.
3. Layer ham and cheese on the bottoms of each of the rolls, then replace the top.
4. Spread a THIN layer of mustard over the inside of the top of each roll, if using.
5. Heat a drizzle of olive oil, or a pat of butter in a skillet or griddle.
6. Dip sandwiches in the egg mixture, carefully turning to coat each side.
7. Fry over medium heat, turning once, until outside is cooked, sandwich is warmed through, and cheese has melted.
8. Serve immediately.
9. **sliced ripe tomato would also be good in these, but, I don't much care for them on warm sammiches, AND, it's not the right season for fantastic vine ripened ones, so I just kept it in the back of my mind for summer time! :-)