  We generalize the work of Kabat and Lifshytz (arXiv:1703.06523), of
reconstructing bulk scalar fields using the intersecting modular hamiltonian
approach discussed therein, to any locally $AdS_3$ space related to $AdS_3$ by
large diffeomorphisms. We present several checks for our result including
matcing with their result in appropriate limits as well as consistency with
bulk diffeomorphisms. As a further check, from our expressions we also compute
the first correction due to gravitational dressing to the bulk scalar field in
$AdS_3$ and match with known results in the literature.
