A Downing Street source has confirmed that the cross-party talks lasted half an hour.
I was told there was a difference of opinion, but that there will be more meetings soon.
The source told me that this exercise – which David Cameron himself referred to in the Commons this afternoon - simply demonstrates the complications of introducing legislation.
It just will not be straightforward, I was told.
A man who won libel damages after his arrest over the murder of a woman has written to MPs asking them to back Leveson's recommendations.
About 2,000 editors will sign up to a new independent press watchdog, the chairman of the Press Complaints Commission has said.
The Prime Minister has taken a political gamble by holding differing views to the victims, the Leveson inquiry and a majority of MPs.