Cut the strawberries in half and place them in a saucepan. Add the sugar, orange zest, and lemon juice, and mix constantly over medium-high heat.
Decrease the heat to medium-low and simmer for 15 minutes mixing occasionally.
To thicken up the compote, mix the cornstarch in a small bowl with a little bit of water and pour it into the strawberry mixture mixing constantly. Simmer for another 2-3 minutes. Let the strawberry sauce cool to room temperature.
Punch the dough down and transfer it to a clean floured surface. Sprinkle flour generously on the dough and roll it into a ¼-inch thick rectangle, making sure that the bottom of the dough doesn’t stick to the surface.
Spread the strawberry filling over the rolled dough using an offset spatula.
Then, sprinkle brown sugar on top of the strawberries.
Roll the dough as tightly as your can into a log and pinch the edges of the dough to keep the roll sealed tightly. Use a serrated knife or unflavored dental floss and cut the rolls into 12 even rolls.
Place the rolls in a lightly greased 9x13 inch baking pan, cover with a towel, and let the rolls rise until doubled in size.
Remove the towel, and bake the rolls in a 180c (350f) oven for 20-25 minutes or until the tops of the rolls are a bit browned. Don't overbake these so they won't dry out.
Make the strawberry cream cheese icing. In a medium-sized bowl, add the softened cream cheese, softened butter, strawberry compote, strawberry jam, powdered sugar, and vanilla extract. Mix with a spoon or a tiny whisk until creamy and smooth. Top the warm rolls with the cream cheese glaze and serve!