Chinese conglomerate Fosun's insurance profits in the first six months of 2015 climbed 1463% to 1.79bn yuan (£182m) compared to the same period last year.
Hong Kong-based reinsurer Peak Re is growing strongly in Europe and the US.
Charles Taylor group CEO David Marock said the company's long-term strategy for its adjusting division will enable it to support its clients once the claims environment returns to a normal level.
Professional services firm Charles Taylor has reported a 28.1% increase in pre-tax profits to £5.3m (H1 2014: £4.1m) alongside a 21.7% rise in revenue to £69.1m (H1 2014: £56.8m) for the first six months of 2015.
European insurers are well positioned to withstand the current stock market volatility, having made significant changes to their investment portfolios in recent years, according to AM Best.