The National Bus and Rail Union has agreed to attend talks at the Labour Relations commission tomorrow.
The union along with SIPTU is involved in a dispute over the privatisation of 10 per cent of Bus Éireann and Dublin Bus routes around the country.
Two more days of strike action are planned for later this week.
The Transport Minister Paschal Donohoe says the Government needs to ensure the approximately 180 million euro invested each year in the service is being used wisely: