Boil 4-5 medium-sized potatoes, peel and mash them in a bowl.
In a pan, heat 2 tablespoons of oil, add 1 teaspoon mustard seeds, 1/2 teaspoon asafoetida, 8-10 curry leaves, 2 finely chopped green chilies, and 1/2 teaspoon turmeric powder. Sauté for a minute.
Add the mashed potatoes to the pan, mix well, and cook for 2-3 minutes. Add salt to taste and let the mixture cool down.
Grate 100 grams of processed cheese and keep it aside. (optional)
In a separate bowl, prepare the batter by mixing 1 cup of gram flour (besan), 1/2 teaspoon turmeric powder, 1/2 teaspoon red chili powder, a pinch of baking soda, salt to taste, and water as required to form a thick, smooth batter.
Divide the potato mixture into equal portions and stuff each portion with grated cheese. Shape them into round balls (vadas).
Heat oil in a deep frying pan for deep frying. Dip each cheese-stuffed vada in the gram flour batter, ensuring it is evenly coated.
Carefully slide the coated vadas into the hot oil and deep fry until golden brown. Remove and drain excess oil on paper towels.
Slice the pav buns horizontally, spread some green chutney and garlic chutney on both sides, and place the cheese vada in between.
Serve hot with additional chutneys and fried green chilies.