Add the water and mix with a wooden spoon or your hands, until the mixture forms a crumbly dough and holds together when formed into a ball without sticking to your hands.
Take a small portion of the dough and shape into a thin (less than ¼-inch) patty.
Place a teaspoon or so of the cold chili in the center of the dough and top with a little cheese.
Make another thin patty and top the chili, pressing the edges to seal the chili inside the masa cake.
Work the patty with your hands so it is even thickness.
Repeat with the remaining dough, to make 8 cakes.
Fill a large saute pan with ¾-inch of the oil and heat over medium-high heat.
When the oil is hot, pan-fry the cakes, in batches, so they are golden brown on both sides, about 2 to 3 minutes per side.
Remove to a paper towel lined plate and season with essence.
To serve: place a small pool of the hot chili on each of 4 plates.