Peter Lim, a Singapore billionaire, is offering £320m in cash for Liverpool football club and its liabilities.
The offer trumps the £300m offered by New England Sports Ventures (NESV) which was accepted last week by Liverpool's chairman, Martin Broughton.
BBC business editor Robert Peston says Mr Lim is also offering to provide £40m in cash to buy players.
He adds Liverpool's board will find it difficult to ignore the offer, raising more uncertainty about the club's fate.
Mr Lim said in a statement: "I respect and admire Liverpool Football Club which is steeped in tradition and history. I am committed to rebuild the club so that it can soon regain its position at the pinnacle of English and European football, where it truly belongs.
"This is why I have stepped forward with this offer," he said.
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