Compote (French for mixture) is a dessert originating from medieval Europe, made of whole or pieces of fruit in sugar syrup.Whole fruits are cooked in water with sugar and spices.The syrup may be seasoned with vanilla, lemon or orange peel, cinnamon sticks or powder, cloves, other spices, ground almonds, grated coconut, candied fruit, or raisins. The compote is served either warm or cold.he syrup may be seasoned with vanilla, lemon or orange peel, cinnamon sticks or powder, cloves, other spices, ground almonds, grated coconut, candied fruit, or raisins. The compote is served either warm or cold.