The structural changes in mechanically mixed metals of immiscible combinations of elements caused by bulk mechanical alloying (MA) through the use of high pressure torsion (HPT) were investigated in Ag-Ni and Nb-Zr systems. There was no alloying between Ag and Ni on atomic scale even after 100 rotations of HPT. On the other hand, the beta-Zr phase started to appear after HPT 2 rotations in the Nb-Zr system, even though beta-Zr is a high temperature phase. Further, Nb and Zr were completely mixed to form a bcc structured single phase after HPT 100 rotations. The sequence of alloying in the Nb-Zr system during HPT was discussed. These results clearly suggest that non-equilibrium phases can form in the Nb-Zr system by bulk MA by the use of HPT.