The pilots union said it had become incumbent on its members rather than BA to “take the initiative” and pursue a resolution.
Balpa has been in dispute with BA for several months over pay and conditions.
The union says BA is failing to adequately reward its BA members for their role in helping deliver record profits for BA and owner IAG.
It follows a two-day strike over 9-10 September, the first by BA pilots for 40 years, which Balpa said demonstrated “the anger and resolve” of BA’s pilots.
“It was now time for a period of reflection before the dispute escalates further and irreparable damage is done to the brand,” said Balpa.