Liberty Insurance, the company which took over Quinn, is to make 285 staff redundant.
The development comes on top of 900 redundancies two years ago when Quinn was in administration.
At staff meetings today, workers were informed that 140 redundancies would be sought in Blanchardstown in Dublin, 75 in Cavan town and 70 in Enniskillen, Co Fermanagh.
Approximately 500 people currently work in each location.
The company said the development is necessary to secure the future of the company.
The redundancies are voluntary but the company has not ruled out compulsory job losses.
In a related development, the company is to enter the insurance market in Northern Ireland and Britain.
In the past 12 months, the company had serviced this business on behalf of the administrators of Quinn Insurance.