Heat olive oil in a medium, non-stick saucepan over medium heat. Add onion; cook and stir for 5 minutes, until onion is translucent. Add rice; stir, coating rice with olive oil and onions.
Pour in broth and wine. Simmer covered until stock is absorbed, about 20 minutes. Stir in peas, chicken, basil and Parmesan cheese. Season with salt and pepper to taste. Serve immediately.