Pat dry the fish fillet. Cut into smaller chunks. In a food processor, blend the fish fillet until a smooth paste forms.
Transfer the fish paste to a large bowl. Add red curry paste, egg, fish sauce, sugar, long beans, kaffir lime leaves, and all-purpose flour. Mix well until all ingredients are evenly combined and the mixture is slightly sticky.
Lightly oil your hands to prevent sticking. Take a spoonful of the fish mixture and flatten it into a small, round patty, about 0.5 inches thick and 2-3 inches in diameter. Repeat until all mixture is used.
Heat vegetable oil in a deep pan or wok over medium-high heat until it reaches about 170-180°C (340-350°F).
Carefully place the fish cakes into the hot oil, ensuring not to overcrowd the pan. Fry in batches if necessary.
Fry for about 3-4 minutes per side, or until golden brown and cooked through.
Remove the fried fish cakes with a slotted spoon and place them on a wire rack lined with paper towels to drain excess oil.
Serve the Tod Mun Pla hot with sweet chili sauce. Garnish with crushed roasted peanuts and diced cucumber if desired.
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