  We discuss the evolution of density perturbations of dark matter and dark
energy in cosmological models which admit future singularities in a finite
time. Up to now geometrical tests of the evolution of the universe do not
differentiate between singular universes and $\Lambda$CDM scenario. We solve
perturbation equations using the gauge invariant formalism. The analysis shows
that the detailed reconstruction of the evolution of perturbations within
singular cosmologies, in the dark sector, exhibit important differences between
the singular universes models and the $\Lambda$CDM cosmology. This is
encouraging for further examination and gives hope for discriminating between
those models with future galaxy weak lensing experiments like the Dark Energy
Survey (DES) and Euclid or CMB observations like PRISM and CoRE.
