  We present updated and extended results for the $\eta$- and $\eta'$-nucleus
bound state energies, obtained by solving the Schr\"{o}dinger and Klein-Gordon
equations with complex optical potentials, for a wide range of nuclei. The
$\eta$ and $\eta'$ nuclear potentials are obtained in the local density
approximation from the mass shift of these mesons in nuclear matter, which is
calculated within the quark-meson coupling model. Our results show that the
$\eta$ and $\eta'$ mesons are expected to form mesic nuclei with all the nuclei
considered. However, the signal for the formation of the $\eta$- and
$\eta'$-mesic nuclei may be difficult to identify experimentally due to
possible large widths.
