Adjust oven rack to middle position; heat oven to 450 degrees. Line rimmed baking sheet with aluminum foil; spread beans on baking sheet. Drizzle with oil; using hands, toss to coat evenly. Sprinkle with 1/4 teaspoon salt, toss to coat, and distribute in even layer. Roast 10 minutes.
While beans are roasting, saute shallots in 1/2 t oil until clear. About 5 minute.
Remove baking sheet from oven. Using tongs, redistribute beans. Continue roasting until beans are dark golden brown in spots and have started to shrivel, 10 to 12 minutes longer. Adjust seasoning with salt and pepper, transfer to serving bowl, add sauted shallots & Asiago cheese. Mix well & serve.
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Roasted Green Beans With Shallots & Asiago Cheese (cont.)