Preheat oven to 350 degrees. Line a sheet pan with foil or parchment.
Toss sprouts with salt, pepper and 1 tablespoon of olive oil.
Roast sprouts until tender and golden brown, about 30 minutes, stirring once.
Remove sprouts from oven and transfer to a bowl.
Add apples, nuts, balsamic vinegar and 1 tablespoon olive oil and toss to mix.
Top with blue cheese.