A process for making an at least partially coated electrode active material may involve, with an electrode active material of formula Li1−xTM1−xO2, wherein TM is a combination of Ni, Co and, optionally, Mn, and, optionally, at least one metal selected from Al, Ti and Zr, and x is in the range of from 0 to 0.2, treating the electrode active material with at least one compound of W or Mo that bears at least one group or ion that is replaced or displaced when such compound reacts with the surface of the electrode active material particle, treating the surface-reacted material with an agent to decompose the compound of W or Mo, repeating the sequence 1 to 100 times, wherein the average thickness of the resulting coating is in the range of from 0.1 to 50 nm.