By Daniel Hunter
The planned rail strike on Monday and Tuesday have been called off by the unions.
The TSSA union was the first to call off the action, before the considerably larger Rail, Maritime & Transport (RMT) union also cancelled the strike.
Thousands of workers were due to walk-out for 24 hours at 5pm on Monday.
RMT general secretary Mick Cash said: "Following the [conciliation service] Acas talks, RMT has received a revised offer that enables us to suspend the planned industrial action while we consult in full with our Network Rail representatives."
Manuel Cortes, general secretary of the TSSA, said: "Our negotiating team at Acas has received a revised offer from Network Rail.
"As a result of this, they have suspended the planned industrial action, pending the outcome of a meeting of our workplace representatives next week."
Network Rail said: "The TSSA has announced it is suspending its planned industrial action planned for next week.
"We welcome this news and the constructive discussions that we've been having since Monday with all our trade unions to avert a strike and reach an amicable solution."
The strike was expected to cause major disruption, with most train operators cancelling almost all services. Virgin Trains said it was cancelling services, even if an agreement could be reached.