Fully differential cross sections for the single ionization of Li(2s) and Li(2p) by 16 MeV Li2+ are discussed within the framework of the continuum distorted wave with eikonal initial sate approximation. The obtained results are compared with those of the measurements and other theoretical calculations (Ghanbari-Adivi et al 2017 J. Phys. B: At. Mol. Opt. Phys. 50 215202). Overall, good agreements are observed among results of the various calculations, and remarkable differences appear only in a few cases. The theoretical calculations reproduce well the angular distributions of the ejected electrons, however, deviations can be observed in the dependence of the cross sections on the projectile’s momentum transfer. Improved agreement between the theory and experiment is obtained when experimental uncertainties related to the determination of the momentum transfer values are taken into account in the evaluation. Asymmetries and double-peak structures in the electron angular distributions are also discussed for the case of the Li(2p) target.