Place polenta in a blender and pulse to make a fine powder.
Bring 3 cups of water to a high simmer. Whisk in the polenta. Add 1 more cup of water and simmer for 15 minutes, stirring frequently. Add more water if needed to create a creamy consistency.
Whisk in the oil and sea salt.
Using a small scoop, place a dollop of polenta into the bowl of each spoon.
Garnish onto cutlery with chopped sun-dried tomatoes