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1
Bring the beef stock to a boil in a large saucepan.
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2
Add the leeks, cover and simmer over low heat, turning a few times, until tender, about 5 minutes.
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3
Using a slotted spoon, transfer the leeks to a large glass baking dish and cover with foil.
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4
Repeat with the remaining vegetables, cooking the pearl onions and carrots for 12 minutes, then the broccoli for 4 minutes and the zucchini for 2 minutes.
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5
Discard the strings from the leeks and cut them crosswise into 1-inch lengths, keeping the pieces intact.
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6
Re-cover the baking dish with foil.
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7
Keep the stock covered.
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8
In a small bowl, combine the parsley with the chives, vinegar, water and tarragon.
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9
Blend in the olive oil and season with salt and pepper.
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10
Preheat the oven to 325.
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11
Bring the stock back to a simmer.
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12
Add the steaks, cover and cook over low heat for 3 minutes.
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13
Turn the steaks and continue cooking until medium rare, about 3 minutes longer.
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14
Meanwhile, transfer the warm vegetables to the oven for about 3 minutes, or until warm.
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15
Arrange the vegetables on the plates.
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16
Transfer the steaks to the plates and ladle a few tablespoons of the stock over them.
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17
Season generously with salt and pepper.
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18
Give the herb dressing a stir and spoon it over all.
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19
Serve at once.