Add the beef and kaffir lime leaves, continue cooking for 3 minutes until fragrant and the beef is cooked through. Transfer to a large pot, place over medium heat and cook until boiling. Add the remaining coconut milk, season with palm sugar and fish sauce. When the mixture returns to a boil add the eggplants. Cook until the eggplants are done, sprinkle sweet basil leaves and red chilies over, then turn off the heat.