  We discuss diphoton semi(exclusive) production in ultraperipheral $PbPb$
collisions at energy of $\sqrt{s_{NN}}=$ 5.5 TeV (LHC). The nuclear
calculations are based on equivalent photon approximation in the impact
parameter space. The cross sections for elementary $\gamma \gamma \to \gamma
\gamma$ subprocess are calculated including two different mechanisms: box
diagrams with leptons and quarks in the loops and a VDM-Regge contribution with
virtual intermediate hadronic excitations of the photons. We got relatively
high cross sections in $PbPb$ collisions ($306$ nb). This opens a possibility
to study the $\gamma \gamma \to \gamma \gamma$ (quasi)elastic scattering at the
LHC. We find that the cross section for elastic $\gamma\gamma$ scattering could
be measured in the lead-lead collisions for the diphoton invariant mass
$W_{\gamma\gamma} \approx 15-20$ GeV.
