Heat oil in a large skillet over medium-high heat. Add the shallots and garlic and sauté for 2 to 3 minutes until soft. Transfer to a food processor or blender along with the roasted peppers and broth until smooth.
Pour the pepper puree back into the skillet over medium heat. Bring to a boil, add the half and half, Pecorino Romano, salt, and pepper, and stir until heated. Add spinach and cook until wilted, about 4 to 5 minutes.
Meanwhile, in a large pot of salted water, cook gnocchi according to package directions. Drain and add to the skillet with the sauce and chicken. Stir in chopped basil and serve with extra cheese if desired.
Notes
Enjoy this hearty and flavorful gnocchi dish with grilled chicken and roasted peppers. Perfect for a comforting dinner.