Turn the broiler on. Slice eggplant , soak in the salty water for a 1/2 hour. Season eggplant slices with salt and pepper and lightly brush with olive oil, then put into oven. Pay attention, you will turn them over cook until golden on both sides. Set aside.

Set the oven to 375F/190C. Place creme fraiche (or heavy cream) in a small saucepan over low heat, bring to a simmer and let reduce to half. Stir in half of the grated parmesan and all of the chopped herbs. Season with a pinch of salt and pepper and set aside.

Lightly grease a 9-inch casserole dish or gratin pan.
Cover the bottom of the baking dish with some tomato sauce and arrange eggplant slices on top to form a uniform layer. Cover the eggplant with some tomato sauce and some Parmesan cheese. Repeat to make 3 layers, making sure to end with a layer of tomato sauce

Ladle over the reduced creme fraiche and sprinkle on a final layer of Parmesan cheese.
Bake uncovered in the oven for about 30 minutes, until browned and bubblin