A deinking system for use with recycled paper pulp includes a number of gas sparged hydrocyclones mounted around the outer periphery of a foam separation vessel, with the slurry outlet from each hydrocyclone introducing slurry into the vessel below the level of liquid in the vessel, and above the accepts outlet from the bottom of the vessel. An annular trough is provided adjacent the top and outer periphery of the vessel, and has a bottom sloping to one or more drain outlets. The hydrocyclone discharge conduits into the vessel are tangential to cause bubble-releasing swirling of the slurry in the vessel. The cyclone preferably is pedestal-less, and has a single gas inlet, and a deflector within the annular air jacket of the hydrocyclone. At least one substantially conical substantially uniform back pressure generator may be disposed in the hydrocyclone slurry outlet, a foam conveyance and breaking device may be associated with the drain outlet from the trough, and a foam and rejects handling tank connected to the foam conveyance and breaking device and including a substantially spiral downwardly extending feed ramp may also be provided.