In this work, we tackle multidimensional two-way number partitioning (MDTWNP) problem by combining GRASP with Exterior Path Relinking. In the last few years, the combination of GRASP with path relinking (PR) has emerged as a highly effective tool for finding high-quality solutions for several difficult problems in reasonable computational time. However, in most of the cases, this hybridization is limited to the variant known as interior PR. Here, we couple GRASP with the ”exterior form” of path relinking and perform extensive experimentation to evaluate this variant. Our computational experiments show the superiority of this approach compared with the previous best method for MDTWNP and with alternative methods for this problem that use other forms of PR.