The two-day strike was over changes to pensions
Union leaders and management at the Grangemouth oil refinery are continuing to consider a possible agreement which could end their dispute over pensions.
The general secretaries of the Unite union, Tony Woodley and Derek Simpson, met Ineos founder Jim Ratcliffe for talks on Tuesday.
The two sides said they had reached a proposal that would be considered "in the coming days".
The talks were held hours after workers returned from a 48-hour strike.
The dispute centred on changes to the workers' pension scheme.
Ineos wants to close its final salary pension scheme to new workers.
It also wants to phase in a contribution to the pension scheme from workers of 6% of their salary.
About 1,200 employees at Grangemouth walked out in the strike, which ended on Tuesday morning.
It is thought it could take some time before normal operations are resumed.
UK Business Secretary John Hutton said: "I welcome this positive development.
"As I have said to both sides in the dispute today, talking is better than striking.
"We need to avoid any further disruption to fuel supplies in Scotland and I am greatly encouraged that both sides have agreed to further talks."
Scotland's First Minister Alex Salmond said: "I'm very pleased both sides have listened to the advice of the two governments in Edinburgh and Westminster - and indeed the wider Scottish community - in engaging in meaningful discussions .
"Hopefully this paves the way for a resolution to the dispute in the coming days."
A Scottish Government spokesman said some 450 road tanker shipments of fuel would leave Grangemouth for forecourts across the country in the day after the strike ended.
A further 65,000 tonnes of fuel are arriving there by a flotilla of sea tankers, he said.