Melt the cream cheese gently in a double boiler until smooth.
Add milk and melted butter to the melted cream cheese and mix well.
Add egg yolks, cake flour, and cornstarch, and mix thoroughly.
Gradually add sugar to the egg whites to make a meringue.
Fold the meringue into the batter in three parts.
Line the pan with parchment paper and pour in the batter.
Tap the bottom of the pan to remove air bubbles.
Bake in a water bath at 180°C (356°F) for 15 minutes, then at 150°C (302°F) for 45 minutes.
Let it cool in the oven, then cut into pieces to serve.