The energy levels of exchange-coupled pairs of 3d3 ions, each in the 4A2 or 2E state, are derived, taking into account the orbitally anisotropic nature of the exchange interaction. Specific analysis is made of the spectrum of collinear pairs of vanadium ions in a KMgF3 host. It is found that the Davydov-type splittings in the excited levels of the pairs, which are caused by the exchange orbital anisotropy, are 2-6 times greater than the ground-state-ground-state exchange matrix elements. Using a semiquantitative method for estimating the diminution of exchange as one increases the number of ligand linkages between the magnetic ions, the magnitude of energy-transfer integrals for V2+ ions separated by three F- ions is found sufficient to cause rapid single-ion-single-ion energy transfer (~1 μsec). This result indirectly supports the argument that the Davydov-like terms for weakly coupled Cr3+ pairs are responsible for energy transfer in dilute ruby.