We investigate the combined evolution of the dipolar surface magnetic field (Bs) and the spin-period (Ps) of known Magnetars and high magnetic field ($${{\rm{B}}_s} \mathbin{\lower.3ex\hbox{$\buildrel>\over {\smash{\scriptstyle\sim}\vphantom{_x}}$}} {10^{13}}{\rm{G}}$$) radio pulsars. We study the long term behaviour of these objects assuming a simple Ohmic dissipation of the magnetic field. Identifying the regions (in the Ps-Bs plane) in which these neutron stars would likely move into, before crossing the death-line to enter the pulsar graveyard, we comment upon the possible connection between the Magnetars and other classes of neutron stars.