The manifold of low-lying electronic states of the diatomic dications SrBr2+ and SrI2+ was investigated for the first time at a high level of theoretical treatment, SA-CASSCF/MRCI. A global picture of the potential energy curves of the Lambda + S and Omega states, and the associated spectroscopic parameters provide reliable quantitative results attesting the thermodynamic stability of both species. Transition probabilities were computed for perpendicular and parallel transitions, and the corresponding radiative lifetimes evaluated. Trends in energetics and molecular properties are discussed for the series SrX2+ (X = F, Cl, Br, I) and CaX2+ (X = Br, I), and BaI2+.