The Jaguares face an uncertain future in Super Rugby, with the Argentine Rugby Union (UAR) telling players they are welcome to accept overseas offers to continue playing rugby.
Due to the global coronavirus pandemic, the 2020 Super Rugby season is effectively over, and SANZAAR chief executive Andy Marinos said it is too soon to know if a 2021 competition will be allowed due to current border restrictions.
As a result, New Zealand and Australia have resorted to domestic competitions involving their franchises, while South Africa is in the process of getting theirs underway, as the country moves into a level 3 lockdown.
New Zealand's Super Rugby Aotearoa will get underway on June 13, with Australia's starting in July.
That leaves the Jaguares, who lost to the Crusaders in the 2019 final, in a hole as they're the only professional team in Argentina and unable to travel to play other teams.
In an interview with ESPN Jaguares' midfielder Jerónimo de la Fuente said the players are unsure of what the future holds.
"They told us that if we had any possibility of emigrating that we take it and that the UAR was going to be predisposed to help us to be able to travel," he explained.
Next year is still a long way off and the possibilities are many. And the sadness that it can no longer be the same. "It hurts me a lot to think that Jaguares does not exist anymore, that Super Rugby cannot play so I am positive from that side, that the solution will be found."
The UAR is in permanent contact with its SANZAAR partners to see how it will continue in the future.
"We are very optimistic. We thought about the Jaguares project very carefully, it was gradual and growing and we reached a very beautiful and dreamlike instance," UAR president Marcelo Rodríguez said in a translated statement.
"The world surprised us, individually and collectively, as countries and continents, and poses a challenge to us with a new reality that we do not know where it is going to stay.
"We are sure that Jaguares in one way or another will be inserted in a competition that for the UAR is economically and financially sustainable. We are not going to put our stability at risk."
The report comes as talks about South Africa's involvement in Super Rugby once again heat up with talks that the franchises will join the PRO14, where the Cheetahs and Southern Kings currently play.
SANZAAR says that broadcasters have already been sold a 14-team Super Rugby cross-border tournament, but admitted changes could be introduced to that format as a result of COVID-19.