Heat one cup of sunflower seed oil on medium-high heat in a soup pot.
When the oil is roughly 300F, add the cubed Yukon Gold potatoes and the 2 tsp of Kosher salt, and cook for roughly 20 minutes, or until the potatoes are tender.
When the potatoes are tender, turn the heat under the oil off, and remove the potatoes from the oil using a slotted spoon.
Allow the potatoes to drain on paper towels.
In a medium-sized saute pan, add the 2 Tbsp of pork fat or olive oil, along with the sliced yellow onion.
Cook the sliced onion over medium heat for roughly 8 minutes, or until the onion is translucent.
Add the finely minced clove of garlic along with the fresh picadillo, and cook over medium heat for roughly 7 minutes, or until the picadillo is completely cooked through.
Remove the cooked picadillo, onions, and garlic from the pan with a slotted spoon and reserve on a plate for when you are ready to serve.
Add the sunflower seed oil that you used earlier to the saute pan, and bring the heat to medium-high.
Add the cooked potatoes to the hot oil, and re-fry the potatoes for a second time for roughly 7-8 minutes.
When the potatoes are crispy and golden-brown, carefully remove them from the hot oil with a slotted spoon, and let them drain on paper towels.
Season the potatoes with a very small sprinkling of Kosher salt right when they come out of the oil.
Turn down the heat on the oil down to low, and carefully fry the eggs two at a time, spooning some of the hot oil over the tops of the eggs as they fry.
*The edges of the whites here should be crispy, unlike your traditional softer-cooked French-style fried egg, where the egg white remains soft and white, with no visible browning. But if you prefer your fried egg cooked in a more traditional French style, go for it!
Remove the eggs from the oil, and plate them on your serving plates.
Season the eggs with Kosher salt and freshly-ground black pepper to taste.
Add the fried potatoes from earlier, along with the cooked picadillo, onions, and garlic.
Add a drizzle of extra virgin olive oil, and serve immediately.