Thaw the Tribeca Oven Brioche Buns at room temperature for 1 hour. 2.
Preheat oven to 350°F and line a rimmed baking sheet with parchment paper. Using a serrated knife, make 4 equal cuts in each bun, leaving about 1/2-inch at the bottom of the bun so that the slices stay connected.
In a medium bowl, mix mascarpone, Parmesan and sugar together until smooth. Transfer to a piping bag and cut off a large tip. Pipe mixture evenly into each opening in the buns.
In a separate large bowl whisk butter, milk, sweetened condensed milk, oregano, basil, garlic, egg and salt together until combined. Dip fi lled buns in egg mixture until coated on both sides.
Place fi lled and coated buns, cut-side-up, on prepared baking sheet. Bake until buns are fully warmed though and reach an internal temperature of 160°F, about 10-15 minutes. Serve warm.