Heat the oil in a large skillet over medium-high heat. Add the onion, garlic and thyme and cook, stirring occasionally, until golden, about 6 minutes. Add the wine and cook until the liquid has reduced by half. Stir in the tomatoes and olives and bring to a simmer. Cook, stirring occasionally while breaking up the tomatoes, until the sauce is slightly thickened, 10 to 15 minutes. Season with 1/2 teaspoon each salt and pepper.
Make eight shallow wells in the sauce. Working with 1 egg at a time, crack into a small bowl, and then gently pour into a well. Sprinkle the eggs with salt and pepper. Cover the skillet and simmer until the egg whites are set but the yolks are still runny, about 8 minutes.
Garnish with sprigs of fresh time, if using, and serve with crusty bread for soaking up the sauce.
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