Dual conformal invariance in the Regge limit

10 pages, 2 figures.A dual conformal symmetry, analogous to the dual conformal symmetry observed for the scattering amplitudes of N = 4 Super Yang-Mills theory, is identified in the Regge limit of QCD. Combined with the original two-dimensional conformal symmetry of the theory, this dual symmetry can potentially explain the integrability of the BFKL Hamiltonian. We also give evidence that the symmetry survives when a subset of 1/N_c corrections are taken into account by studying briefly the non-planar 2 to m reggeon transition vertices. This provides a hint that the dual conformal symmetry of N = 4 SYM is also present, in some form, at finite N_c.The work of C. G. has been partially supported by the Spanish DGI contract FPA2003-02877 and the CAM grant HEPHACOS P-ESP-00346. The work of J. G. is supported by a Spanish FPU grant.Peer reviewe