Abstract: The present invention is included within the field of energy production from carbonaceous fuels with capture of carbon dioxide for its use or permanent storage and in particular relates to devices and methods which enable the improved capture of CO2 by CaO in calcination-carbonation processes due to the use of a recarbonator where the partially carbonated solids from the carbonator are brought into contact with highly concentrated CO2; so that the fraction of carbonate in the solids increases slightly above the effective CO2 carrying capacity in the carbonator and said increase compensates the loss of effective CO2 carrying capacity that said solids undergo in the following calcination-carbonation cycle, thus checking the deactivation process in a higher value of CO2 carrying capacity of the sorbent.