Preheat oven to 220C. In a large bowl, mix together the cornmeal and salt. Pour in 2 1/2 cups of the boiling water and mix with a wooden spoon to form a mass. Cover with a towel or plastic wrap and set aside to rest for 5 to 10 minutes.
Using wetted hands, form balls of dough out of about 1/4 cup of dough and press to form a cake about 3 inches wide and 3/4 inch thick. If the dough cracks at the edges, mix in a little more water and then form the cakes.
Heat the oil in a sauté pan or skillet over medium-high heat. Sauté the patties, a few at a time, to form a light brown crust on one side, 5 to 6 minutes. Flip and brown on the other side.
When all the patties have been browned, transfer them to a baking sheet and bake in the oven for 15 to 20 minutes, or until they sound lightly hollow when tapped. Serve immediately.