01 - Heat butter and olive oil in a large, heavy-bottomed saucepan over medium heat. Add onion and sauté until translucent, about 3 minutes. Stir in garlic and cook for 1 minute more.
02 - Add Arborio rice and cook, stirring constantly, for 2 minutes until the grains are well coated and slightly translucent at the edges.
03 - Pour in the white wine. Stir and cook until almost completely absorbed.
04 - Add warm vegetable broth, one ladle at a time, stirring frequently. Allow each addition to be absorbed before adding the next. Continue until the rice is creamy and al dente, about 18-20 minutes (you may not need all the broth).
05 - Reduce heat to low. Stir in the Parmesan cheese and pesto until fully combined. Season with salt and pepper to taste.
06 - Remove from heat, cover, and let rest for 2 minutes. Serve immediately, garnished with extra Parmesan, basil leaves, and toasted pine nuts if desired.