We present the preliminary results of modeling of the optical counterparts of the ROSAT X-ray sources identified by ASAS survey data for detached systems (Szczygieł et al. 2008, ASAS.ROSAT.cat) in the framework of the optical variability campaign for strong X-ray sources among eclipsing binaries that was launched in summer 2012, with the 14 ′′ telescope at the University of Patras“Mythodeia” Observatory.