Quinn Insurance, now owned by US group Liberty Mutual, has said the future of the 1,500 jobs at the company will be secure under the new owners.
The company plans to rebrand under the Liberty name in the first three months of next year.
During the last 18 months, when the company was under administration, its business shrank by up to 40% and it made 900 staff redundant.
However, its new owners said they have no plans for cost cutting.
The company's chief executive in Ireland, Patrick O'Brien, said the group planned to expand in household insurance in the coming years where it has had market share of up to 4%.
