Preheat oven to 350 degrees F and prepare cookie sheet or jelly roll pan with parchment paper and spray with Crisco pan release.
Separate eggs into yolks and whites. In a large bowl, add all 6 egg yolks, sweetened condensed milk, milk, and vanilla, and mix with hand or stand mixer for about 5 minutes until pale in color.
In a separate bowl, add egg whites and beat with a hand or stand mixer until the whites form soft peaks. Continue mixing and add ⅓ sugar slowly in 3 increments. Mix until stiff peaks form.
Add about 1/2 of the egg whites to the egg yolk mixture, gently folding them in so as not to deflate the whites.
In a medium bowl, add flour, baking powder, and salt and whisk. Slowly add the flour mixture to the large bowl of the whites and yolk mixture, adding in three increments and folding in gently.
Pour batter into prepared pan and level out. Bake for 15-18 minutes until golden brown.
While the cake is baking, make the filling. In a bowl, add cream cheese, sugar, vanilla, and heavy cream and mix for 2-3 minutes. Fold in strawberry jam or puree.
Prepare a dish towel with a generous amount of powdered sugar. Loosen the cake from the pan and lay it on the towel. Remove the parchment paper. Roll the cake up into the towel and set it on a rack to cool.
When cooled, gently unroll the cake, fill it with cream cheese, and reroll. Sprinkle with powder to finish.
Slice and Enjoy!