The detection of ultra-high-energy cosmic rays and high-energy neutrinos suggests the presence of sources that act as hadronic accelerators of the Universe. Recently, the IceCube Collaboration has provided compelling evidence for high-energy neutrinos from the nearby Seyfert galaxy NGC 1068. Several scenarios have been put forward to explain the neutrino signal, invoking different production sites and particle acceleration processes. One such processes is magnetic reconnection that can efficiently tap energy stored in magnetic fields and transfer it to non-thermal particles. In the past decade a lot of progress has been made in the numerical study of magnetic reconnection with particle-in-cell (PIC) simulations for different environmental conditions, such as plasma composition and magnetization. Motivated by recent PIC simulation results, I will introduce a new model for high-energy neutrino production in black-hole coronae that ties the X-ray AGN luminosity with the high-energy neutrino luminosity. I will then present our results for the case of NGC 1068, and discuss the implications of the model for other Seyfert galaxies.