  The $\pi^{0}$ and $\eta$ meson production in Pb-Pb collisions at
$\sqrt{s_{NN}}$ = 2.76 TeV is studied with the ALICE experiment at the LHC. The
$\pi^{0}$ invariant yields and nuclear modification factor $R_{\mbox{AA}}$ are
presented here in six centrality classes. The results are a combined
measurement using the Photon Conversion Method (PCM) and the PHOS detector, in
the transverse momentum range 0.4 $< p_{\mbox{T}} <$ 12 GeV/$c$. The $\pi^{0}$
$R_{\mbox{AA}}$ is studied in different centrality classes and compared with
results from experiments at lower energies, both as a function of transverse
momentum. The $\eta$ meson production is studied using the PCM and the EMCal
detector. The combination of the individual results will make possible the
measurement of the $\eta$ differential invariant cross section as a function of
transverse momentum from 1 to 22 GeV/$c$ in different centrality classes.
