Cairns, who described the allegations against him as "absurd, bizarre and scary," held a news conference in Auckland today on his return to New Zealand from London, where he was interviewed by the Metropolitan Police and investigators from the England and Wales Cricket Board and the ICC's Anti-Corruption and Security Unit.
Reading from a prepared statement, Cairns said he had been told Fleming, Vettori and fast bowler Kyle Mills had joined former Test batsman Lou Vincent and current New Zealand captain Brendon McCullum in making statements to the ICC.
Cairns has denied any involvement in match-fixing, but said he believes he is that player. McCullum, in evidence which was also leaked to the British media, said he was twice approached in 2008 and encouraged to become involved in match fixing.
Cairns said he believes evidence provided to the ICC by Fleming, Vettori and Mills relates to McCullum's claim.
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Cairns identified the players as Fleming, Vettori and Kyle Mills, the brother of New Zealand Cricket Players' Association head Heath Mills.
"Two of these men made statements supporting Mr. McCullum's claim that he spoke to them. The third man told investigators his memory was foggy and he could not make a statement in support of Mr McCullum," Cairns told the news conference.