Prepare Strawberry Filling: In a medium saucepan, combine fresh or frozen strawberries, granulated sugar, and lemon juice. Cook over medium heat for about 10 minutes, stirring frequently, until the mixture thickens and reduces into a jam-like consistency.

Make Brioche Dough: In a stand mixer, combine all-purpose flour, sugar, instant dry yeast, and salt. Gradually add warm milk, softened unsalted butter, and a large egg. Knead on medium speed for 5-7 minutes until smooth.

Shape Rolls: Roll the dough into a rectangle, spread the cooled strawberry filling, roll into a log, and cut into 12 pieces.

Second Rise: Place rolls in a greased baking dish, cover, and let rise until puffy, about 30 minutes to 1 hour.

Bake Rolls: Bake in a preheated oven at 350°F for 20-25 minutes until golden brown.

Prepare Glaze: Beat together cream cheese, powdered sugar, vanilla extract, and cold strawberry puree until smooth.

Glaze and Serve: Spread the cream cheese glaze over warm rolls and serve.