  We explore the possibility that some of the five narrow $\Omega_c$ resonances
recently observed at LHCb could correspond to pentaquark states, structured as
meson-baryon bound states or molecules. The interaction of the low-lying
pseudoscalar mesons with the ground-state baryons in the charm $+1$,
strangeness $-2$ and isospin 0 sector is built from t-channel vector meson
exchange, using effective Lagrangians. The resulting s-wave coupled-channel
unitarized amplitudes show the presence of two structures with similar masses
and widths to those of the observed $\Omega_c(3050)^0$ and $\Omega_c(3090)^0$.
The identification of these resonances with the meson-baryon bound states found
in this work would also imply assigning the values $1/2^-$ for their
spin-parity. An experimental determination of the spin-parity of the
$\Omega_c(3090)^0$ would help in disentangling its structure, as the
quark-based models predict its spin-parity to be either $3/2^-$ or $5/2^-$.
