The energy and angular distributions of 3 He and 4 He ions produced in the 7 Be + 58 Ni reaction at a bombarding energy of 22 MeV have been measured for the first time. The yield of the heavier helium isotope was four to five times more abundant than that of its lighter counterpart, ruling out the possibility that in this energy range the 7 Be reaction dynamics is dominated by the exclusive breakup process 7 Be → 3 He + 4 He (S α = 1.586 MeV). Extensive kinematic and theoretical calculations suggest that the 3 He ions mostly originate from the 4 He-stripping process and the 4 He production is mainly triggered by the fusion-evaporation channel. The role played by the breakup, 3 He-stripping, 1n-stripping, and 1n-pickup processes is also discussed.