Pre-heat a large pot over medium heat. Add the olive oil and slanina. Cook, stirring, until golden brown and slightly crispy, around 4 minutes. Using a slotted spoon, transfer the bacon to a plate lined with paper towel and reserve the fat in the pan. Set aside.
Add the onion, carrot and bell pepper. Season with a pinch of salt and cook, stirring, until soft and translucent, around 6 minutes. Add the garlic and cook, stirring, 60 seconds. Add the tomato paste and cook, stirring, 60 seconds. Add the potatoes and stir to combine.
Add enough water to just cover the potatoes. Add the paprika, thyme, bay leaves and season with ½ teaspoon salt and ¼ teaspoon pepper. Stir to combine, bring to a simmer, cover with a lid, reduce the heat to low, and cook until the potatoes are fork-tender, around 20 minutes. Add the tomatoes, stir to combine, cover with a lid and cook until the tomatoes have softened, around 6 minutes.
Add the cooked slanina, parsley and dill, and stir to combine. Taste for seasoning, adjust with salt and pepper to taste as desired. Serve with the grilled pork chops when ready.