Arsenal will be banned from signing players from other European clubs if they attempt to re-join the European Super League.
They have verbally agreed to abandon the project and have been punished by the Premier League and UEFA.
However, Real Madrid, Barcelona and Juventus are still pushing for the competition to go ahead.
The trio insists that everyone on the original agreement is still bound to it, legally.
This means that the competition can be revived in the future and they will force Arsenal to partake.
If that happens, it would cost them signing players from outside England with the FA prepared to deny work permits to their future signings, making it impossible for them to play for an English club.
Arsenal has signed the likes of Thomas Partey from Spain and Pierre-Emerick Aubameyang from Germany in recent seasons.
FA chief executive Mark Bullingham insists that they would make signing new players hard for Arsenal and other top six clubs if they re-join the competition.
Bullingham said via Mail Sport: ‘We may tweak some aspects of the visa system to make sure that people only get visas for our competitions which we accredit.
‘So, you can’t pull in talent from abroad to play in competitions that we don’t sanction. They couldn’t bring in foreign players to play in that [breakaway] competition.
‘[We will] make sure our rule book is tightened up. The Premier League are doing the same, the Premier League rules were voted through at the Premier League AGM. We’re working on a few tweaks.’