We explore the topology of real Lagrangian submanifolds in symplectic manifolds towards their uniqueness and classification. We prove that a real Lagrangian in a closed symplectic manifold is unique up to smooth cobordism. We then discuss the classification of real Lagrangians in $CP^2$ and $S^2times S^2$. Finally, we explain why it is tempting to conjecture that any real Lagrangian torus in $S^2times S^2$ is Hamiltonian isotopic to the Clifford torus.