The Rugby Football Union (RFU) has told the French clubs to stop interfering in their negotiations with Premier Rugby over the future of the Heineken Cup. Premier Rugby, representing England's top clubs, wants a direct stake in the competition, a move opposed by the RFU.
RFU chairman Martyn Thomas said the two sides were close to securing a long term agreement for the English game.
"It is wholly inappropriate for (French clubs' body) LNR to be seeking a voice in these negotiations," he said.
"Our agreement with PRL (Premier Rugby Ltd) still has two years to run, and under that agreement they have committed to participation in ERC competitions."
Thomas added the two sides had reached "heads of agreement stage".
France's 14 top-flight clubs have pulled out of next season's tournament, blaming the RFU over their refusal to hand over shares and voting rights in European Rugby Cup Ltd to England's leading clubs.
However, domestic fixture congestion in France caused by the World Cup is seen by many as the major reason for the planned withdrawal.
"We wait to hear from LNR if they are going to participate in next year's ERC competitions," said Thomas.
"If they do not compete, we are looking to the FFR (Federation Francaise de Rugby) to nominate other French teams to participate."
Thomas added that a "very constructive meeting" took place on Friday between himself, other senior RFU figures and top figures in the French Federation.
If French clubs carry out their threat to pull out, it is conceivable that both the Heineken Cup and the Challenge Cup could be cut to 16 teams next season.