  Using the quark-meson coupling (QMC) model, we investigate theoretically
whether $\eta$ and $\omega$ mesons form meson-nucleus bound states. We study
several nuclei from $^{6}$He to $^{208}$Pb, including those which are the final
nuclei in the proposed experiment at GSI. Results for the $\omega$ are compared
with those of the Walecka model. Our results suggest that one should expect to
find $\eta$- and $\omega$-nucleus bound states in all these nuclei.
Furthermore, we investigate the possibility of charmed mesic nuclei. It is
shown that the $D^-$ meson will inevitably form narrow bound states with
$^{208}$Pb.
