The Premier League is set to continue with its profit and sustainability rules, PSR, for next season, instead of moving to rework financial controls.
PSR is designed to limit losses but the new system determines how much a club can spend based upon the revenue it generates.
It had limited teams like Manchester United and Newcastle United from signing new players.
The new rules would allow clubs greater flexibility for transfer spending.
On Thursday, clubs met for the Premier League Stakeholders meeting, but an agreement could not be reached on all aspects and there was no vote on whether to introduce it.
Some clubs were happy for it to begin this summer, while others believe changes or more consultation was necessary.
Manchester City have already launched a fresh legal suit against the Premier League over the regulations, specifically related to "associated party transactions."
APT rules are designed to ensure fair market value is applied to commercial deals with organisations closely aligned to club owners.
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