It is reported that the leaders were offered a cocktail of shrimp with slices of avocado and fresh lemon.
As a main dish, they were served a Searlean steak, served with Korean kimchi cabbage inside a pear.
For dessert, politicians tasted "chocolate lava" - a cake with a liquid filling, served with fresh berries and vanilla ice cream, and as a drink they brought a punch of dried persimmon with honey.
Earlier it was reported that Trump and Kim Jong-un are negotiating one-on-one.