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Starting from the Chern-Simons formulation, the two-dimensional dual theoryfor three-dimensional asymptotically flat Einstein gravity at null infinity isconstructed. Solving the constraints together with suitable gauge fixingconditions gives in a first stage a chiral Wess-Zumino-Witten like model basedon the Poincar\'e algebra in three dimensions. The next stage involves aHamiltonian reduction to a BMS3 invariant Liouville theory. These results areconnected to those originally derived in the anti-de Sitter case by rephrasingthe latter in a suitable gauge before taking their flat-space limit.

Dual dynamics of three dimensional asymptotically flat Einstein gravity at null infinity