The rugby star gained 20 test matches for the All Blacks before changing allegiance to the Samoan team.
Rugby league's authority has declared that participants who join the “counterfeit” R360 league will be prohibited for 10 years.
The proposed competition, which plans to launch in 2026, is aiming to attract athletes from both codes with substantial agreements and a reduced game calendar.
Top rugby league athletes have allegedly been contacted by R360, which will include multiple men's clubs and four women's teams located in key urban centers around the world.
The Samoan the player, who plays for New Zealand Warriors in the league, has confirmed he has had talks with the breakaway league.
Ryan Papenhuyzen, Lomax, Payne Haas and Jye Gray are also reported to be weighing up offers from the new competition.
Eight major rugby union nations, including Australia, recently declared a ban on players joining R360 playing global fixtures.
“We have consulted our teams and we've acted decisively,” said the league's chairman the official.
“Regrettably, there will always be groups that seek to pirate our code for potential financial gain.
“They fail to contribute in pathways or the advancement of players. They only leverage the efforts of others, endangering athletes of economic hardship while benefiting financially.
“They are, in reality, copying the game.”
R360 is established by ex-England star Tindall and funded by private investors.
After the possible rugby union bans were announced last week, it said: “We want to work collaboratively as a component of the international rugby schedule.
“The event is designed with customized calendars for men's and women's teams and we will release all players for test matches, as specified in their agreements.”
The new league will seek approval for its plans from rugby union's governing body, union's governing body, at its official gathering in 2026.
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