Preheat the oven to it's highest setting or "broil." Halve and seed the red bell pepper. Brush the halves with olive oil and place them face down in a baking dish. Broil them in the oven until the skins become blackened and charred. Remove the pepper halves from the oven and seal them in a plastic bag immediately. Allow to cool completely.

In a food processor, combine the basil, garlic, olive oil, salt, and pepper. Pulse until thoroughly mixed. Add the nuts and pulse until fully incorporated. Toss with hot pasta and serve.