  Possibility of PbPb$\to$PbPb$\gamma\gamma$ measurement at smaller (< 5 GeV)
diphoton invariant mass will be presented. Analysis focuses only on
ultraperipheral heavy-ion collisions. This estimate shows that the $\gamma
\gamma \to \gamma \gamma$ collisions can be measured at the LHC by ALICE and
LHCb experiments for diphoton invariant mass $>$ 2 GeV. Predictions for the
$\gamma\gamma \to \eta, \eta' \to \gamma\gamma$ resonance scattering shows that
these resonances can be measured with rather good statistics. A~possible
observation of peaks related to intermediate $\eta$, $\eta'(958)$,
$\eta_c(1S)$, $\eta_c(2S)$, $\chi_{c0}(1P)$ mesons will be presented too.
Attempts of reduction of background which comes from dipion production will be
considered.
