The HeI ₂(E0 ⁺ _g , vE=0-6, nE>) van der Waals complexes in a free-rotor configuration populated in the excitation pathway via HeI ₂(B0 ⁺ _u=19, nB=2-4) intermediate levels have been studied utilizing laser-induced luminescence spectroscopy methods. Analysis of the excitation pathway has been performed, and the I ₂(E0 ⁺ _g→B0 ⁺ _u→D0 ⁺ _u) luminescence spectra have been measured. These I ₂(E and D) molecules are the product of the HeI ₂(E, vE= 0E) vibrational and electronic predissociation, respectively. We have defined the probabilities of the HeI ₂(E, = E) predissociation channels, vibrational populations of the I2(E and D) states as well as binding energies of the HeI ₂(E, vE=0-6, nE, J=0) states. A modified ab initio potential of the HeI ₂(E) state has been used to explain experimental results.