The biggest rail union is considering an “updated” offer from train companies in a bid to end the long-running strikes.
The offer by the Rail Delivery Group, which represents train companies, comes after weeks of talks in the dispute over pay, jobs and conditions.
The Rail Maritime and Transport union (RMT) has held a series of strikes stretching back to last summer which caused travel disruption across London and the country.
An RMT spokesperson said: “We have received an updated offer from the RDG and our NEC (national executive committee) is considering its contents.
“No decision on any next steps has been taken."
A spokesperson for the Rail Delivery Group said: “Following further constructive joint discussions with the RMT leadership, we have put forward a fair revised offer which makes important clarifications and reassurances, in particular around job terms and conditions for our employees.
“Our ambition remains to secure long-term, rewarding careers for our people, a better service for passengers and a railway that takes no more than its fair share from the taxpayer.
“Our hope is that the RMT executive will put this proposal to its full train operating company membership and allow them a say on the deal, so we can end this dispute and work together to deliver a strong future for Britain’s railway and all those who work on it.”
The union suspended strike action against fourteen train companies last month for talks.
It had planned to walk out on March 30 and April 1 which had been due to affect many London commuter services such as Southern, Southeastern and South Western Railway.
However, it is in the process of balloting its members for a further six-month mandate to take strike action if the row is not resolved. The current strike mandate runs out in mid-May.