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1
Combine the shallots and wine in a heavy saucepan and boil over high heat until reduced to 2 tablespoons, about 45 minutes.
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2
Add the demiglace and boil until reduced to 2 cups, 10 to 15 minutes.
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3
Strain the sauce and return it to the saucepan.
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4
Preheat the oven to 425.
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5
Spread the potatoes in a medium baking dish and bake for 35 minutes, or until tender.
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6
Meanwhile, in a small skillet, cover the pearl onions with water.
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7
Add 2 tablespoons of the butter, the sugar and a pinch of salt and bring to a boil over high heat.
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8
Cook until the water has evaporated, about 20 minutes.
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9
Stir constantly until the onions are glazed and lightly browned, about 3 more minutes.
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10
In a saucepan, cover the carrots with cold water.
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11
Add salt and bring to a boil over high heat.
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12
cook until just tender, about 7 minutes.
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13
Drain, rinse under cold water and drain again.
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14
Melt the remaining 1 1/2 tablespoons of butter in the saucepan, add the carrots and saute until warmed through.
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15
Add the onions.
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16
Meanwhile, light a charcoal grill or preheat the broiler.
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17
Brush the mushrooms with olive oil, season with salt and pepper and grill or broil for about 7 minutes per side, or until tender and lightly charred.
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18
Let cool slightly, then slice the mushrooms.
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19
Season the beef with salt and pepper and grill or broil for about 5 minutes per side for rare meat.
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20
In a bowl, combine the chervil, parsley, chives and tarragon.
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21
Add the oil and vinegar, season with salt and pepper and toss well.
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22
Rewarm the potatoes in the oven and the onions and carrots on the stove.
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23
Reheat the sauce.
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24
Set a beef fillet on each plate, top with the herb salad and spoon the sauce around.
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25
Arrange the mushrooms, potatoes, onions and carrots alongside the beef and serve.