Begin by hard-boiling the eggs. Place them in a pot, cover with cold water, and bring to a boil. Once boiling, cover the pot, turn off the heat, and let them sit for 12-15 minutes. Afterward, transfer the eggs to an ice bath to cool before peeling.
Cut the hard-boiled eggs in half lengthwise and carefully remove the yolks. In a mixing bowl, mash the yolks with mayonnaise, dill pickle relish, yellow mustard, salt, and black pepper until smooth. Adjust seasoning to taste.
Spoon the yolk mixture back into the egg white halves. You can also use a piping bag for a more elegant presentation.
Set up a breading station: one bowl with all-purpose flour, another with the beaten eggs, and a third with panko breadcrumbs. Dip each stuffed egg in flour, then in the beaten eggs, and finally coat with panko breadcrumbs.
In your deep fryer or heavy pot, heat vegetable oil to 350°F (175°C). Ensure there’s enough oil to submerge the eggs.
Carefully place the breaded deviled eggs in the hot oil, a few at a time, and fry them for about 2-3 minutes or until golden brown. Use a slotted spoon to remove them and place on a paper towel-lined plate to drain excess oil.
Sprinkle the fried deviled eggs with paprika for a pop of color, and serve warm. They’re best enjoyed fresh out of the fryer!