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We study the $S$-wave $D\Xi$ bound state in the Bethe-Salpeter formalism inthe ladder and instantaneous approximations. With the kernel generated by thehadronic effective Lagrangian, two open-charmed bound states, which quantumnumbers are $I=0$, $J^P=(\frac{1}{2})^-$ and $I=1$, $J^P=(\frac{1}{2})^-$,respectively, are predicted as new candidates of hadronic pentaquark moleculesin our formalism. If existing, they could contribute to the broad 3188 eVstructure near the five new narrow $\Omega_c$ states observed recently by theLHCb Collaboration.

Possible open-charmed pentaquark molecule $\Omega_c(3188)$ --- the $D \Xi$ bound state --- in the Bethe-Salpeter formalism