Paul Murray's consortium backed by Ticketus, whose money helped Craig Whyte to complete his takeover, were hoping to get control of the Glasgow Club but administrator Paul Clark has suggested there has been takeover interest from America and the Far East and called for all potential buyers to "put their money where their mouth is".
Murray has received the backing of ex Manager Walter Smith and revealed last Monday that motoring tycoon Douglas Park was among those who have expressed interest in his group, along with two London-based businessmen - fund manager John Bennett of the Henderson Group and property adviser Scott Murdoch of CWM.
Player stepped in on Friday to prevent mass redundancies when all players accepted wage cuts of up to 75% for the rest of the season while Mervan Celik and Gregg Wylde left voluntarily.
Clark told the club's website: "What we want is to have only serious bidders left by the end of the week.
"If somebody wants to involve the media, that's fine. And if they become the owner then they can sit on the front page of all the papers saying, 'I did it'. But don't be surprised if that owner isn't one of the people who is media friendly.
"By the way, I am not ruling anybody out in this process, absolutely not. I'm just saying that nobody should assume that the only serious bidders are the ones who are in the public domain.''
Clark added: "I don't want to be specific about bidders but there is at least one party from the Far East and we've had some interest as well from the American continent.
Murray must now act to bring stability to the Gers and show to the administrator that the consortium have the financial muscle to provide a blue print for the future of the club.