The GMB union will meet ambulance representatives on Monday to discuss up to six more strike dates, Sky News understands.
It comes after talks with Health Secretary Stephen Barclay failed to reach an agreement earlier this week.
Yesterday, about 25,000 ambulance workers across England and Wales went on strike in a dispute with the government over pay.
Staggered walkouts by paramedics, call handlers, drivers and technicians from the Unison and GMB unions took place over a 24-hour period.
NHS England warned that some people would have to make their own way to hospital.
While members of the armed forces and private providers were once again drafted in to help cover services, as was the case during the first strike day on 21 December.
Despite no deal being reached following the talks with Mr Barclay on Monday, the health secretary did agree to look into a suggestion to backdate next year’s NHS pay deal to this January.
But it is understood representatives of the GMB union are set to meet again next week to discuss whether industrial action should escalate.
Mr Barclay held further talks this morning with medical unions which were described as “constructive” by the chair of council at the British Medical Association (BMA).
Speaking after the meeting, Professor Philip Banfield told reporters: “The tone was not confrontational, the tone was collaborative.
“The secretary of state was a consummate politician in listening mode. It’s what happens next that’s the important thing.”
Professor Banfield said doctors feel they have been “driven” to the point of considering strike action because “no-one is listening to us”.
“We’ve got about six weeks, haven’t we, to sit down and try and resolve the situation. None of our doctors want to strike, they would prefer that this was resolved before we got into that situation,” he said.