The inquiry has now moved on to hacking, and has clearly caused some concern among the News International legal team.
During questioning a lawyer for News International walked up to its counsel, clearly worried.
He was angrily told to sit down by LordJustice Leveson.
News International's concern seems to be that the inquiry has asked to see a legal document that so far has not been released by News International.
The document is a 2007 report by the legal firm Burton and Copeland (London) on phone hacking.
We don't know what it said, but if News International executives learnt from that report that hacking was more widespread than 'one rogue reporter' then that would be very serious indeed.
It would mean they had evidence that hacking was more widespread whilst they were claiming it was not. Perhaps misleading the police and shareholders.
But all this is speculation; we don't know what was in the report or - yet - whether News International will agree to release it to the inquiry.
Rupert Murdoch, on the Gordon Taylor hacking settlement, says "I was surprised" - my son was "pretty inexperienced." That's astonishing criticism of James.
Rupert Murdoch was asked why he didn't find out about the extent of the phone hacking happening at the News of the World.
"I have to say I failed," he said, delighting headline writers everywhere. "I'm very sorry about it."
For around half an hour Rupert Murdoch was asked about any contacts he might have had with Culture Secretary Jeremy Hunt.
Leveson counsel says that in 2009 Jeremy Hunt recorded in parliament's register of members interests that he visited New York and metwith News Corp representatives.
Mr Murdoch says he doesn't think he met Jeremy Hunt but repeatedly said he couldn't remember.
It's crucial because it goes to the question of how much contact there was between the Murdochs and Jeremy Hunt over the BskyB bid.
Mr Hunt says he conducted he process "fairly" and "scrupulously".
A Murdoch representative has walked up to News International counsel to talk to them as Rupert Murdoch is questioned about hacking. He was then told off by Leveson. NI people seem worried.
Rupert Murdoch was asked where he thought the 'cover-up culture' had come from.
"Within the News of the World, there were one or two very strong characters there who had been there many, many years," he said.
"The person I'm thinking of was a friend of the journalist, a drinking pal, and a clever lawyer.
"This person forbade people to report to Mrs Brooks or to James."
He added: "That is not to excuse it on our behalf at all. I take it extremely seriously."
"Half" of the Milly Dowler phone hacking story has been "disowned by police," claims Rupert Murdoch, who added he didn't want to 'play down the importance' of the scandal.
He says it was the wider hacking scandal, not the Dowler "misfortune", that ultimately derailed his BSkyB takeover bid.
"Anyone other than Dr Cable" would have been "fairer" to deal with on the BSkyB takeover bid, Rupert Murdoch has told the Leveson Inquiry.
He adds that he did not know Jeremy Hunt had described himself on his website as a 'cheerleader' for Rupert Murdoch.
Rupert Murdoch says he wishes he was closer to education secretary Michael Gove because they are both "passionate about education."
The standard of education in the UK and the US is an "absolute disgrace," he says.
Robert Jay QC's questioning of Rupert Murdoch has begun for the day.
Rupert Murdoch says he 'stands by' his recollection of his phone call with Gordon Brown.
Mr Murdoch also agrees that the editors of The Sun and the New York post get to know his thinking very well, but he denies they have to follow his line.