Details of this have been revealed in documents released ahead of the High Court hearing, which will determine how the funds in the £4.5m player protection account can be distributed.
Under the proposed voluntary company agreement (CVA), the client trust would distribute 50% of BetIndex's shares to existing clients who had an active Football Index portfolio at the time the company went into administration.
The administrators said this was possible because "the underlying business model is attractive to customers and financially sustainable".
Index Labs Ltd shareholders - the owners of BetIndex - would have to vote to transfer control of the company if a CVA could be agreed with customers.
An investment fund will hold the remaining 50% of BetIndex's capital in order to attract outside investors. These investors could potentially create an exit vehicle for any players holding a stake in the clients' trust, as clients could sell their stakes to investors.
Any client would retain the right to become a corporate member, which would give them voting rights when electing board members.
As for the actual platform, a format similar to the previous original name has been proposed to ensure continuity, but with some differences that the operator says will help keep it financially viable.
Instead of a remote betting licence, the operator could obtain a pool betting licence, which was described as the "most sensible" way to continue.
According to https://casinoudenrofus.info/, a pool of archived shares containing £7m will be set up to continue paying dividends, but payments will be suspended for six months. All archived shares will expire in three years.
The administration said the "directors believe there is a realistic prospect" of re-licensing the operator.
Asked about the possibility of Football Index being granted a new licence, a Gambling Commission spokesman said: "We will not talk about any potential licence applications or applications that have been made.
"We scrutinise the business model of any licence application before granting a licence."
The operator estimates that in this relaunch, players will receive approximately 20.5p for each pound due.
The original final statement issued by BetIndex after the company went into administration mentioned plans for a potential restructuring in the future. The statement at the time said: 'We are seeking a restructuring that needs to be agreed with our stakeholders, including, most importantly, our community.
"We are preparing this through administration with bankruptcy practitioners Begbie Traynor to achieve the best outcome for customers with a view to continuing to operate the platform in a restructured form."