Lined with parchment paper or grease with butter (2) 13x18x1 inch baking sheets; set aside. In the bowl of a stand mixer fitted with the dough hook, combine the milk, water, and yeast and let stand until foamy, about 5 to 10 minutes.
With a fork, stir in the butter, sugar, salt, and eggs. With the mixer on low, add the flour, cornmeal, and then the malt. Increase the speed to medium and knead the dough until it is smooth and elastic about 5 to 10 minutes.
Lightly grease a large bowl with oil or nonstick spray. Next, lightly oil your hand and transfer the dough to the prepared bowl, turning it to coat all sides in the oil. Cover with a cling wrap and allow the dough to rest in a relatively warm environment until doubled in size for about 1 hour, depending on the temperature of your house.
Once rested, divide the dough into equal portions, about 100g each. Flatten each piece slightly and fill with the frying cheese. Close the dough around the cheese filling, forming a ball and pinching the bottom to cover completely.
Place at least 2 inches apart on a baking sheet lined with parchment paper or a silicone baking mat. Cover the cornmeal dinner rolls with a damp cloth and put in a warm place; let rise until doubled in volume, about 1 hour.
Preheat oven to 350 degrees F. Very gently brush the rolls with some melted butter. Bake until golden, 25 to 30 minutes. Brush with more melted butter and serve warm. Enjoy!