  Using the Effective Field Theory approach together with the Boundary-to-Bound
map, we compute the next-to-leading order (NLO) Post-Minkowskian (PM) tidal
effects in the conservative dynamics of compact binary systems. We derive the
mass and current quadrupole and, for the first time, octupole corrections to
the binding energy for circular orbits at ${\cal O}(G^3)$. Our results are
consistent with the test-body limit as well as the existent Post-Newtonian
literature. We also reconstruct a Hamiltonian incorporating tidal effects to
NLO in the PM expansion and find complete agreement with the recent derivation
of its quadrupolar part using the classical limit of scattering amplitudes.
