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To make the curtido: In a large bowl, stir together the cabbage, onion, and carrot.
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In a small bowl, whisk together the vinegar, water, oregano, salt, and pepper. Pour over the vegetable mixture, tossing to combine.
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Cover and refrigerate for at least 2 hours (preferably overnight) before using.
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To make the pickled jalapeños: Place the sliced jalapeños and garlic in a 12-ounce or 1-pint mason jar.
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In a saucepan set over medium heat, combine the vinegar, water, sugar, and salt, cooking until the sugar dissolves and the mixture begins to boil.
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Pour the liquid into the mason jar to completely submerge the jalapeños. Cover with the lid, and let cool to room temperature.
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After an hour, transfer to the refrigerator and chill for at least 2 hours (preferably overnight) before using.
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To make the refried black beans: Heat the oil in a saucepan or Dutch oven set over medium heat. Add the garlic and onions and cook until softened, about 5 minutes.
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Add the beans, water, and spices and reduce the heat to low. Simmer the mixture until it’s thickened slightly, about 15 minutes.
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Briefly blend the bean mixture (using a blender, food processor, or hand blender); you should have a somewhat lumpy paste, soft but still able to hold its shape; think canned refried beans. If the beans are too thin, return the mixture to the pot to cook longer; if too thick or dry, add more water. Adjust seasonings to taste, then set the beans aside until you’re ready to assemble the pupusas.
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To make the dough: Weigh your masa harina; or measure it by gently spooning into a cup, then sweeping off any excess. In a large, shallow bowl, stir together the masa harina and salt.
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Gradually add the warm water, stirring with your hands, a spatula, or a spoon to make a cohesive dough.
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Continue to mix the dough until it’s smooth and somewhat firm, about 5 minutes. If the dough is sticking to your hands and feels wet, incorporate more masa harina a teaspoon at a time. Roll a piece of the dough into a small ball and press it between your fingers; if it cracks, add more water.
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Divide the dough into 14 pieces (about 85g each) and roll each piece into a ball. Place the balls on a clean work surface and cover them with plastic or a damp kitchen towel to keep them moist.
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To assemble: In a small bowl, whisk together the water and oil.
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Lightly grease (or line with parchment) two baking sheets.
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Remove the pickled jalapeños from the refrigerator and dice them.
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Dip your hands in the water/oil mixture. Working with one ball of dough at a time, use your thumb to make a well in the center.
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Expand the well to create a small bowl of dough. Fill the bowl with about 2 teaspoons refried beans, 1 heaping teaspoon diced pickled jalapeños, and 1 to 2 tablespoons shredded cheese.
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Bring the sides of the bowl into the center and lightly press together to seal.
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Gently pat the dough between your hands to transform the sealed bowl into a flat round about 4” to 4 1/2” in diameter. If the pupusa tears or cracks, gently pinch the dough together over the opening to prevent too much filling from being exposed. Wet your hands as needed throughout assembly.
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Place the filled pupusas on a baking sheet and cover them while you assemble the rest of the pupusas. Repeat steps 18 through 21 with the remaining dough and filling.
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To cook: Heat a large nonstick pan over medium heat or preheat an electric griddle to 350°F.
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Transfer the pupusas to the hot pan and dry fry them (without oil) until browned and speckled, about 4 to 6 minutes per side.
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Serve the hot pupusas with curtido on the side.
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Storage information: Store any leftover pupusas in an airtight container in the refrigerator for several days; reheat before serving.