Bake pine nuts and pecans in a single layer in a shallow pan 8 minutes or until toasted and fragrant.
Let cool 5 minutes. Process basil leaves, parsley, garlic, and 1/3 cup olive oil in a food processor until a coarse paste forms.
Add nuts and Parmesan cheese, and process until blended. With processor running, pour 1/3 cup olive oil through food chute in a slow, steady stream; process until smooth. Cover and chill up to 5 days.