  The detection of astrophysical very high energy (VHE) neutrinos in the range
of TeV-PeV energies by the IceCube observatory has opened a new season in high
energy astrophysics. Energies ~PeV imply that the neutrinos are originated from
sources where cosmic rays (CRs) can be accelerated up to ~ 10^{17}eV. Recently,
we have shown that the observed TeV gamma-rays from radio-galaxies may have a
hadronic origin in their nuclear region and in such a case this could lead to
neutrino production. In this paper we show that relativistic protons
accelerated by magnetic reconnection in the core region of these sources may
produce VHE neutrinos via the decay of charged pions produced by photo-meson
process. We have also calculated the diffuse flux of VHE neutrinos and found
that it can be associated to the IceCube data.
