  We perform a detailed phase-space analysis of various phantom cosmological
models, where the dark energy sector interacts with the dark matter one. We
examine whether there exist late-time scaling attractors, corresponding to an
accelerating universe and possessing dark energy and dark matter densities of
the same order. We find that all the examined models, although accepting stable
late-time accelerated solutions, cannot alleviate the coincidence problem,
unless one imposes a form of fine-tuning in the model parameters. It seems that
interacting phantom cosmology cannot fulfill the basic requirement that led to
its construction.
