Density functional theory calculations (UTPSSh/6-311 + + G-(d,p)) of electronic structure, energy characteristics and magnetic properties of a series of heterometallic CrCo complexes comprising redox-active bis(dioxolene) bridging ligands (3,3,3',3'-tetramethyl-5,6,5',6'-tetrahydroxy-1,1'-spiro-bis(indan) and 2,3,6,7-tetrahydroxy-9,10-dimethyl-9,10-dihydro-9,10-ethanoanthracene) and ancillary tetradentate nitrogen-containing bases (tris(2-pyridylmethyl)amine and N,N'-dialkyl-2,11-diaza [3.3]-(2,6)pyridinophane derivatives) were performed. The compounds prone to manifest spin-state switching rearrangements involving cobalt centre have been revealed. Analysis of the results obtained and their comparison with those found previously open wide prospects for the purposeful search for a broad variety of new magnetically bistable heterometallic dinuclear paramagnetic species with a prospect of useful application in the design of smart dynamic materials.