  Recent work has demonstrated the need to include contributions from
entanglement islands when computing the entanglement entropy in QFT states
coupled to regions of semiclassical gravity. We propose a new formula for the
reflected entropy that includes additional contributions from such islands. We
derive this formula from the gravitational path integral by finding additional
saddles that include generalized replica wormholes. We also demonstrate that
our covariant formula satisfies all the inequalities required of the reflected
entropy. We use this formula in various examples that demonstrate its relevance
in illustrating the structure of multipartite entanglement that are invisible
to the entropies.
