Preheat oven to 400°F.
On baking sheet, toss together shallots and half each of the oil, salt and pepper; roast for 8 minutes. Meanwhile, in bowl, toss together tomatoes, garlic and remaining oil, salt and pepper. Remove pan from oven; add tomato mixture. Return to oven; roast until vegetables are softened, about 15 minutes. Let cool slightly.
Cheesy Polenta: Meanwhile, in saucepan, bring 3 1/2 cups water to boil; whisk in cornmeal, salt and pepper. Reduce heat to medium-low; cook, stirring frequently, until thick enough to mound on spoon, about 10 minutes. Stir in Parmesan and goat cheese.
Spoon Cheesy Polenta into shallow bowls; top with tomato mixture. Top with more Parmesan, if desired, and chives.
Recipe adapted from Canadian Living Magazine section: ON THE TABLE IN 30 MINUTES