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In a large skillet, heat 1 tablespoon of olive oil over medium heat. Add the mushrooms, and saute 4-5 minutes, until the mushrooms have caramelized slightly.
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Add an additional tablespoon of olive oil to the skillet, then add the sliced shallots. Saute for 2-3 minutes, or until the shallots have softened slightly.
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Add the trimmed green beans to the pan. Toss with the shallots and mushrooms, then add the chicken stock and white wine to the pan. Cover the pan with some aluminum foil, allowing the green beans to steam for 3-4 minutes.
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Remove the cover, and continue to cook the beans, allowing the stock to reduce in volume and coat the vegetables. Season with salt and pepper to taste.
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Remove from the heat and serve immediately.