The BBC said it will meet unions for talks at conciliation service Acas on Thursday.
A 24-hour strike over the broadcaster's plans to cut 20 per cent of its workforce forced the BBC to cancel or shorten most of its live radio and television news programming, including the BBC World Service.
The unions have threatened three more strikes, including a 48-hour stoppage from next Tuesday, if their demands are not met for a 90-day moratorium on job cuts and a guarantee that all redundancies will be voluntary.
"We welcome the invitation to talks. . . . Clearly the BBC would not have agreed to go unless they were prepared to negotiate," said Gerry Morrissey, assistant general secretary at Bectu, one of the three unions involved in the dispute.
The unions are protesting plans by BBC director general Mark Thompson to eliminate around 4,000 jobs.
Acas - the Advisory, Conciliation, and Arbitration Service - has intervened in previous disputes between the BBC and staff.