Collapsed stellar corpses, neutron stars and black holes, are among the most interesting targets of high-energy astrophysics, from radio to high-energy gamma rays. The multi-wavelength study of galactic compact objects, both isolated and in binary systems, is key to address fundamental issues in massive star evolution, the properties of matter under extreme conditions, and the emission physics in highly-magnetised environments. Aim of this parallel session is to present recent discoveries in the multi-wavelength study of transient/persistent galactic compact objects and discuss the potentialities of forthcoming X-ray missions (in particular those with large UK/German participation as LOFT, eRosita, ATHENA) and their potential synergies.