0A model constructed from chiral superfields is considered, and a simple, but exact, domain wall solution is found which interpolates between supersymmetric vacuum states. The domain wall supports fermionic zero modes, for which approximate analytic solutions are found. It is also found that bosonic bound states localized within or near the core of the wall can exist. The fermionic superconducting domain wall can therefore be endowed with both fermionic and bosonic charges and currents.