Management at Gama Construction are to meet the Turkish Workers' Action Group and union officials tomorrow.
The move follows protests in Dublin and Galway over claims of systematic underpayment of Turkish workers on Gama sites.
Meanwhile, the Department of Enterprise says it is awaiting clarification from Gama on a number of issues raised at meetings yesterday.
Employees of the Turkish construction firm also met with senior SIPTU officials at Liberty Hall in Dublin.
They were considering what action could be taken to prevent the company sending home 140 of its employees for which it says it no longer has work.
SIPTU organiser Pat McCabe says the move will be strongly resisted.
Yesterday, 300 Gama workers travelled from Dublin to Tynagh in Co Galway to stage a demonstration at the site of a €300 million power plant which the company is building for the ESB.
Fourteen workers at the Tynagh plant walked off the site during the demonstration and returned to Dublin with their colleagues.
Workers also staged a march in Dublin on Monday to protest over pay rates.