We propose a new method to attenuate the nuisance of the flux halo of stars in hyperspectral images and recover the spatio-spectral sparse signals of forming extrasolar planets. The proposed approach takes into account the punctuality of the sources and the spatio-spectral point spread function of the instrument. We show that our linear and parametric method based on polynomial modulation avoids distortions in the planets spectra compared to present algorithm involving frequency filtering. Simulated data demonstrate the enhancements. We also study the influence of model complexity on the quality of the results. We verify the improvement on real data of observations of the PDS 70 system with the MUSE instrument.