The move would see Murdoch add the respected Financial Times name as well as 50 percent of the Economist magazine to his vast empire, which already includes the Wall Street Journal and Dow Jones.
The Edge Review, a regional political and business digital magazine based in Malaysia, said the talks had been progressing for more than a month with the owners, London-based publishing and education giant Pearson.
Citing financial executives familiar with the negotiations it said a decision could be finalised as early as next week.
The report said financing details and shareholding structure of the new company that will own the FT group are being worked out.
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An executive familiar with the talks was cited by the Edge Review as saying the Abu Dhabi Media Group is expected to control roughly 75 percent of the venture with Murdoch picking up the balance.
Murdoch is also negotiating to buy another 25 percent stake at a later date, it said.
The Edge Review said that while the influence of oil and gas money from the Middle East has been focused on sports, the move to media was new and could radically reshape the global newspaper landscape because of Murdoch's involvement.
News of 82-year-old Murdoch's latest business foray comes as his media-entertainment conglomerate News Corp. Prepares to split after US stock markets close today.
The division of the company, which generates some USD 34 billion in revenues worldwide will create two independent, publicly traded companies, both headed in some form by the Australian-born magnate.
Murdoch has said the move will "unlock value" for shareholders by creating one firm focused on high-flying television and film activities, and another on newspapers and other publishing entities.
The crown jewel has been baptised 21st Century Fox, comprising Fox studios in Hollywood and a global array of cable and broadcasting operations, including National Geographic Channels and Fox Pan American Sports.