Bring a large pot of water to a boil. Season the water well with salt. Add the tortellini and cook according to package instructions.
Coat a nonstick skillet with cooking spray and heat over medium heat. Add the tomatoes, peas, garlic and mushrooms. Saute until the mushrooms are tender, about 5 minutes.
Add in the spinach and saute until wilted, 1 to 2 minutes. Remove the skillet from the heat and toss in the pasta. Top with the Parmesan and pine nuts. Season with salt and pepper.
Divide among 4 plates. Serve each plate with 2 cups of the mixed greens.