In this paper we present a method to retrieve HDO, H2O and δD from IASI radiances spectra. It relies on an existing radiative transfer model (Atmosphit) and optimal estimation inversion scheme, but goes further than our previous work by explicitly considering correlations between the two species. Global (fixed) HDO and H2O a priori profiles together with a covariance matrix were built from daily model simulations of HDO and H2O profiles (the LMDz-iso model is used) over the whole globe and a whole year. The retrieval parameters are described and characterized in terms of errors. We show that IASI is mostly sensitive to δD in the middle troposphere and allows retrieving δD for an integrated 3-6 km column with an error of 38‰ on an individual...