Pre-heat oven to broil

In large sauce pan, melt 1 ounce of butter over medium heat and whisk in flour.

Cook until you smell the flour (about 2-3 minutes), then gradually add in cream and whisk to make sure flour mixture and cream do not clump.

Add bay leaf, and turn heat down to low, stirring occasionally until it is a thick, soup-like mixture.

Remove from heat and add parmesan and 1/4 of the gruyere.

Blend into sauce and transfer to cool bowl.

Arrange 4 slices of bread and spread a light amount of béchamel sauce on one side, top with 3 slices of ham ( I like to add a little extra cheese and béchamel between the layers), top ham with 1/2 the gruyere mix and bechemel sauce and top with a slice of bread.

Pre-heat a flat griddle and melt remaining butter.

Place sandwich on griddle and brown on each side for about 2 minutes, then transfer to baking sheet and top sandwiches with the remaining béchamel sauce and cheese, and broil until cheese is golden brown ( about 1-2 min).

While sandwich is browning, fry eggs to medium and place one egg on top of each sandwich once it comes out of the oven and serve.