90% of INMO members voted for industrial action
Representatives from the Irish Nurses and Midwives Organisation (INMO) are meeting with officials from the Health Service Executive (HSE).
Both sides are discussing the ongoing dispute over staffing, recruitment and retention.
Last Thursday the INMO put forward a plan on what it believes is required to address the recruitment and retention of staff in the health sector.
Senior people from both sides are looking at those initiatives - a process which will continue until Tuesday.
On Wednesday, the executive council of the union will meet to consider the outcome of those talks.
However, 90% of members voted in favour of industrial action back in December.
The union say progress has been made on a funded workplace plan, which would see an increase in permanent whole-time posts in 2017.
The INMO will also meet the Public Service Pay Commission on Tuesday.
It comes after talks broke down in January without agreement and with no progress being made.