We have developed an efficient Cu/N,N-bidentate imine ligand catalytic system for C(sp3)–C(sp) coupling to obtain internal alkynes, di/trisubstituted allenes and strained bridged cyclic lactams in moderate to excellent yields from readily available alkyl(benzyl) bromides in one-pot transformation. Density Functional Theory (DFT) assisted mechanistic study along with control experiments support the