Editors Tony Gallagher, of The Daily Telegraph, and Chris Blackhurst, of The Independent, have crossed Twitter swords before this morning's meeting with the Prime Minister.
Mr Gallagher said Mr Blackhurst had misrepresented the Telegraph's coverage on Leveson during a radio appearance.
More top news
Shooting of a 400-pound gorilla who grabbed a four-year-old boy after he entered his enclosure sparks public outrage and prompts petition.
The 'sugar tax' outlined in Chancellor George Osborne's March budget will "hit the poor the hardest", critics claim.
A woman who was "dragged away" by a crocodile as her friend tried in vain to rescue her is reportedly still missing in Australia.