Preheat your oven to 375°F (190°C).
In a large oven-safe skillet, heat the olive oil over medium heat. Sauté the chopped onion until translucent, about 5 minutes. Add minced garlic and thyme, cooking for another minute until fragrant.
Stir in the arborio rice, coating it well with the oil. Cook for 2-3 minutes until the rice is slightly toasted.
Add the pumpkin puree and stir to combine, ensuring the rice is evenly coated.
Pour in the vegetable broth and season with salt and pepper. Bring to a gentle simmer.
Cover the skillet and transfer it to the preheated oven. Bake for 20-25 minutes, or until the rice is tender and most of the liquid has been absorbed.
Once done, remove from the oven and fold in the crumbled goat cheese. Let it sit for a few minutes before serving.