Prepare Strawberry Filling: In a medium saucepan, combine strawberries with sugar and lemon juice. Cook over medium heat for about 10 minutes until thickened. Blend if desired and refrigerate.

Make Brioche Dough: In a stand mixer, mix flour, sugar, yeast, and salt. Add warmed milk, softened butter, and egg. Knead on medium speed for 5-7 minutes until smooth.

First Rise: Transfer dough to a greased bowl and cover. Let rise in a warm area for about 2 hours until doubled in size.

Shape Rolls: Punch down dough, roll into a rectangle, spread filling, then roll tightly and cut into 12 pieces.

Second Rise: Place rolls in a greased baking dish, cover, and let rise for 30-60 minutes. Preheat oven to 350°F (180°C).

Bake Rolls: Bake for 20-25 minutes until golden brown and soft.

Make Glaze: Beat cream cheese and butter until smooth, sift in powdered sugar, and add puree and vanilla. Mix until silky.

Glaze and Serve: Spread glaze over warm rolls and serve immediately.