It adds that the Catholic Church is in total crisis and that every day, the world is turning more and more away from God.
In the letter, the group says that during its general chapter meeting, it did discuss the possibility of a canonical agreement that its members and the Holy See could agree on.
When the negotiations became more serious, there were internal divisions among Lefebvrists. Now, it seems the group, led by Bishop Fellay has reached a consensus, that at least for now, seems to lean more towards 'no'.
The letter also states that the Second Vatican Council is marked with errors. It then adds that it expects a frank and serious discussion, so that ecclesiastical authorities can rejoin their traditional roots.
The letter ends by referencing the Society's late founder, Marcel Lefebvre, asking 'Our Lady' to intervene so she may oust any internal enemies, who try to radically destroy the Church, even more than external enemies.
The Vatican's spokesman left the door open to continue negotiations with the Lefebvrists. He said the Holy See takes note of the response and is awaiting to further that dialogue between the two.
For decades now, Rome has tried to fully re-integrate this group back into the Catholic Church, but up until now, both sides have failed to reach an agreement.