Talks between British Airways and the cabin crew union Unite ended yesterday with no sign of the two sides reaching a deal.
BA issued a brief statement which read: "There was a short meeting at ACAS today and there are plans to meet again next week." No date has been given.
Meanwhile, Unite is threatening to ballot its cabin crew members for further strikes starting in September.
BA is continuing to train volunteer cabin crew and insists that even if further strikes do take place it is confident it will still be able to operate all its long-haul flights from Heathrow.
Earlier BA chief executive Willie Walsh said: "I want to reach a resolution but we are preparing for further industrial action."
Last week BA said industrial action by cabin crew had already cost the airline at least £184m.
