French Onion Croque Madame

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Onions:

3 tablespoons butter

3 large onions, very thinly sliced 

Salt and freshly ground black pepper 

1 tablespoon fresh thyme leaves 

1 bay leaf 

1/4 cup dry sherry 

1 cup veal or beef stock 

Bechamel Sauce:

2 cups whole milk

2 tablespoons butter 

2 tablespoons all-purpose flour 

Salt and freshly ground black pepper 

Freshly grated nutmeg

1 round tablespoon Dijon mustard 

Mixed Greens Salad:

2 tablespoons white balsamic vinegar

1 tablespoon Dijon mustard

Drizzle acacia honey 

1/4 cup good-quality olive oil 

Kosher salt and freshly ground black pepper 

1 green endive, sliced 

1 head frisee, pulled apart 

1 head radicchio, thinly sliced 

Sandwiches:

4 long, 1/2-inch-thick slices peasant bread

8 slices mild imported cooked ham or prosciutto cotto 

2 cups shredded gruyere cheese 

Butter

4 large eggs