  We present a study of photon-photon scattering for $W_{\gamma\gamma} < 5$
GeV. We extend earlier calculations of this cross section for
$W_{\gamma\gamma}>$ 5 GeV into the low mass range where photoproduction of the
pseudoscalar mesons $\eta$(548), $\eta^{'}(958)$ and other mesonic resonances
contribute to the two-photon final states. We consider the dominant background
of the two photon final state which arises from $\gamma \gamma$ decays of
photoproduced $\pi^{0} \pi^0$-pairs. We discuss how to reduce the background by
imposing cuts on different kinematical variables. We present results for ALICE
and LHCb kinematics.
