Magnetic phase transitions in metals and alloys continue to offer new challenges to theory and experiments. In recent years, the focus has shifted from thermal phase transitions to quantum phase transitions (QPTs) that occur at zero temperature when external parameters, such as, pressure or chemical composition and magnetic field are varied. Contemporary theories predict a new quantum critical point in disordered itinerant system with exotic properties such as quantum Griffiths phase (QGP). QGPs are often observed in heavy fermions system due to existence of strong disorder. The observation of QGP in 3d-transition metal based system, such as NiV, triggered research activity in search of new 3d-based alloys to validate the proposed theoretical models. Here, we have carried out a comprehensive analysis of low temperature magnetic, electrical and specific heat data of Ni-TM, (TM=V, Cr, Nb) binary alloys, in the vicinity of critical concentration (xc). From the analysis of magnetic data weak itinerant ferromagnetic nature is identified. Further, as we approach the critical concentration the spin fluctuations contribution increases and leads to break down of Fermi liquid behavior. These results along with variation of non-universal exponent obtained from magnetic isotherms unequivocally suggest QGP in Ni-Cr alloys, due to presence of strong disorder. While weakly disordered Ni92-xCuxCr8 alloys seem to deviate from this nature. We have also attempted to resolve some of the controversies related to magnetic ground state of Ni80Cr20 nanoparticles synthesized by different methods. The magnetism observed in these particles due to finite size effects could be useful for various applications.