There could be a breakthrough in a dispute involving ScotRail train drivers which has led to a third of the train operator's services being axed.
Drivers have now been offered a 4.2% pay rise and improved conditions, according to their union.
The BBC says it follows negotiations between the recently-nationalised train company and Aslef.
The union's Scottish organiser, Kevin Lindsay, said the improved pay offer would be put to members for their consideration.
Drivers have refused to work overtime and on rest days, after the union rejected a 2.2% pay offer.
ScotRail, which brought in a reduced timetable this week to cope with driver shortages, said the new pay offer was final and could not be improved.
The reduced timetable saw almost 700 fewer train services a day on the Scottish network – bringing misery to tens of thousands of travellers north of the border.
Aslef has said the 2.2% pay offer was not acceptable in times of soaring inflation.
Mr Lindsay stated: "Aslef entered these talks in good faith. We have negotiated a pay offer of 4.2%, a three-year no compulsory redundancy deal and a number of other improvements.
"These will now be put to our members for their consideration."
The full consultation is likely to last up to four weeks and will be followed by a formal vote.
Mr Lindsay told the BBC it was up to train drivers to decide whether to return to working overtime in the meantime.
"The emergency timetable imposed by ScotRail cut too far, too deep, and in my opinion was not necessary," he said.
"They should have come round the table and spoken to us a lot sooner and encouraged the drivers to work. However, they didn't and now they have faced the consequences of it."
Meanwhile, Scottish ministers were yesterday urged to give up their taxpayer-funded, chauffeur-driven cars until the chaos on Scotland's nationalised trains is resolved.
Anas Sarwar said tens of thousands of people were being left stranded after work due to the drastically scaled-back timetable.
The Scottish Labour leader told John Swinney, who was standing in for Nicola Sturgeon at First Minister's Questions, that normal workers could not rely on the round-the-clock car service which is provided to SNP and Green ministers.
The Scottish Government's fleet of 28 ministerial cars, which includes Tesla, Mercedes and Lexus vehicles, and 23 drivers and staff to run the service, cost the public purse almost £1.4million per year, before costs reduced to around £1million during the pandemic.
Mr Sarwar said that ministers should "hand back the keys" to their ministerial cars until the train timetable returned to normal.