  We explore the topology of real Lagrangian submanifolds in a toric symplectic
manifold which come from involutive symmetries on its moment polytope. We
establish a real analog of the Delzant construction for those real Lagrangians,
which says that their diffeomorphism type is determined by combinatorial data.
As an application, we realize all possible diffeomorphism types of connected
real Lagrangians in toric symplectic del Pezzo surfaces.
