The present invention relates to a fluid/creamy pigmented hydrogen peroxide-based oxidising composition, to be used in combination with persulfates-based hair bleaches or with dyes, lightening, super-lightening products. The composition of the semi-finished product includes hydrogen peroxide in various titles in proportions from 1% to 12% by weight, plus other substances in addition to a first dye which provides the semi-finished product with a yellow/green colour at an acid pH. By combining the oxidising composition (first product) with bleaching products of various nature/lightening dyes (second product) in an emulsion, the pH of the emulsion becomes strongly alkaline, from the initial 2-3 it may increase up to 11.5. In this pH transition from acid to alkaline, the oxidising emulsion changes its colour from yellow/green to blue. In the pH passage of the emulsion from acid values to alkaline values, the blue that has formed is chromatically active against the orange and red reflections, present on the hair as residual colours due to previous treatments.