“…In this section we will restrict our discussion to how the extragalactic magnetic fields could modify the conclusions we reached in the previous section dedicated to the rectilinear regime. We will not discuss the propagation in the Galactic magnetic field but some details on the observations and constraints can be found in [106,108,108,110,105,107], analytical models of the magnetic fields in the Galaxy in [111,112,113] and studies on the propagation of UHECR and the expected consequences on their arrival directions in [111,112,114,113,115,116,117]. We will also not discuss in detail the impact of extragalactic magnetic fields on the expected anisotropies of the UHECR sky.…”