Make the dressing: Whisk together vinegar, shallot, mustard, salt, and pepper in a bowl. Add oil in a slow, steady stream, whisking until emulsified.
Make the salad: Preheat oven to 350 degrees. Place baguette slices on a baking sheet, and toast until golden, 8 to 10 minutes.
Meanwhile, toss together frisee, walnuts, and apple in a large bowl. Add dressing, and toss. Season with salt and pepper. Transfer to a serving platter.
Preheat broiler. Place cheese, cut side up, on a second baking sheet, and drizzle with oil. Broil until top is browned and bubbling, 3 to 4 minutes. Place on platter. Serve with baguette toasts.
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