Preheat the oven to 425°F. Roughly chop vegetables, except garlic, and place on a baking sheet.
Drizzle vegetables with olive oil and season with salt and pepper, lightly toss.
Cut off the top of the garlic and place in aluminum foil. Drizzle with olive oil and season with salt. Wrap garlic with the foil and place on the baking sheet
Roast vegetables until onion and eggplant are tender, about 25-30 minutes.
Remove the tray from the oven and place the roasted vegetables in a medium soup pot. Make sure you squeeze out the garlic from the peels.
Add vegetable stock and blend using an immersion blender. For extra creaminess, stain with a medium-sized strainer to get all the seeds and peels out.
Add thyme, salt, and pepper to taste.
Serve with a drizzle of olive oil, basil leaves, and a dash of paprika.