The NdNi1-xCuxAl compounds were studied by means of heat-capacity, magnetization and AC-susceptibility measurements. The previously observed loss of long-range magnetic order in other RNi1-xCuxAl series with R = Tb, Dy, Er around x = 0.6-0.8 that is accompanied by enhanced tendency to spin-glass character of behavior, is spread to wider concentration region of x = 0.4-0.8 in the case of the newly studied Nd-based series, a candidate with rare-earth element coming from the light rare-earth group. (C) 2009 Elsevier B.V. All rights reserved.