News of the agency search comes as the Department of Trade and Industry takes Murray's former City PRO Tim Blackstone - of the now defunct Blackstone Business Communications (BBC) - to court on four counts of insider dealing.
Blackstone, who denies the charges, is appearing this week at London's Blackfriars Crown Court in a trial that is expected to run for weeks.
Murray Financial CEO Ken Murray is appearing as a witness for the DTI.
Murray confirmed he has not retained a City PR agency since hiring BBC, but has held talks with two agencies in the last week.
'We may need PR advisers for another acquisition and it's a suitable time for us to look at what's available in the market,' he said.
Blackstone - the brother of arts minister Baroness Blackstone - said he was winding BBC down after five years last August (PRWeek, 23 August).
Murray Financial, which was founded in 1998, attempted one of the country's first hostile takeovers of a building society, when it bid for Leek United three years ago. That bid was unsuccessful.