Individuals linked with the post from outside of football include entrepreneur Sir Alan Sugar, Tesco chief executive Sir Terry Leahy and British Airways chairman Martin Broughton, the current Liverpool chairman.
Reported candidates from within the game include Manchester United chief executive David Gill, former Liverpool chief executive Rick Parry and former Arsenal and FA vice-chairman David Dein, who is international president of England's 2018 World Cup bid.
Until an appointment is made, Burden will remain at the helm and, despite originally distancing himself from the position, he now appears to be in the frame.
Burden, who has risen through the FA's ranks and is chairman of the Gloucestershire FA and the National Game Board, shared the acting chairman role with David Sheepshanks for the first week post-Triesman.
Former Ipswich chairman Sheepshanks has sat on several FA boards and is chairman of the proposed
National Football Centre
No interviews will take place before the World Cup vote because the FA is anxious not to further damage England's bid, which has not been helped by the departures of Triesman and FA chief executive Ian Watmore.
Triesman quit his roles with the FA and England 2018 after the
Mail on Sunday
published a conversation in which the 66-year-old suggested Spain could drop its bid if rival bidder Russia helped bribe referees at last summer's World Cup.
Malcolm Clarke, chairman of the Football Supporters' Federation and the only fans representative on the FA council, tried to table a motion discussing the introduction of non-executive directors.
Clarke sent a letter to all 1,120 FA shareholders and needed 5% of them to back the motion but he received just over 1% support - and the issue cannot even be discussed at the EGM.
As all major FA decisions have to come through the council, it is difficult to envisage how English football's governing body will ever adopt Lord Burns' recommendation - unless the government intervenes.
Football's world governing body Fifa fiercely objects to government interference in the administration of the game but Clarke said
Minister for Sport Hugh Robertson
had written to him supporting his efforts.
"The Minister for Sport said a reasonable quid pro quo for abolishing the one-year rule [for the appointment of a new chairman] would have been the addition of two further independent board members as recommended by Lord Burns," Clarke told BBC Sport.
Clarke added that he may attempt to table his motion again at the FA's Annual General Meeting in May 2011.
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