"In acquiring Western expertise, they'll get a sense of what we've tried and what's failed and why. A lot of lessons can be learnt."

Although the trend of Chinese insurance firms' overseas investment started only a few years ago, Peagam said the potential growth of this trend is huge because, subject to certain criteria, Chinese companies are allowed to invest 15 percent of their assets offshore, and at the moment only about 1 percent has been invested.

"This means a lot of Chinese insurance firms' investments are still made in the domestic market, and it may make sense to diversify by investing overseas. Globally we are seeing fewer and fewer insurance firms investing only in their own domestic market, and more investment is going into global fixed-income equity or at least regional equity.

"If Chinese insurance firms invest another 14 percent of their assets into overseas markets, the potential to make an impact is huge."

In Europe, insurance firms are increasingly becoming capital starved due to falling fixed-income yields.

"Such falling yields affect the guarantee that life insurance firms can offer in their products," Peagam said. "It also affects the firms that have made guarantees in the past and need to re-invest now."

Such falling yields are leading to more mergers between European insurers to increase efficiency and creating an incentive for insurers to invest in other investment classes.

The harsh macroeconomic conditions that have led to the low valuation of some capital-starved European insurance firms would provide good opportunities for Chinese investment, but the new Chinese owners may need to do a lot of work to improve the targets' efficiency in the post-acquisition integration stage.

"The extended period of low bond yields is putting pressure on companies, in combination with regulatory rules, such as Solvency II. This means the selling price may become more attractive, but the pressures don't go away after the acquisition, although some efficiency may be achieved through diversification."

While acquisitions between European insurers have taken place over the years, it is only in the past year or two that the trend has become obvious, Peagam said. The participation of Chinese insurers in this trend has also made a positive contribution to help make this market more active.

"I think Chinese insurers' participation is helpful for some companies that would have otherwise had fewer options."

Acquisitions of European insurers should generally produce returns of about 10 percent or more, to justify the level of risks encountered through the acquisitions, he said.

Some Chinese insurers are increasingly buying real estate assets in Europe with less risk and higher returns.

China Life Insurance Co bought 70 percent of an office building in London's Canary Wharf in a $1.35 billion deal last year, and Ping An Insurance Group bought the Lloyd's of London building for 260 million pounds ($388 million) in 2013.

"Investing in a building wouldn't involve the same complexities of buying a regulated company, as it is just the purchase of the asset," Peagam said. "After some assessments are made and it is seen to be a good investment, an acquirer may invest in it with a plan to keep it or to improve it and sell it again."

The choice of different classes of assets to invest in depends on the type of capital a Chinese insurer uses to make the investment, he said.

The investment funds can come from the insurer's surplus capital, general account assets, or policyholder money. The returns from the investment will become a return for the sources of the funding, so it is important to match investment with each type of capital's desired levels of risks and returns, he said. This is especially important when using policyholder funds.

Apart from buying insurance companies and real estate, Chinese insurers in the future may also become more comfortable with alternative asset classes, which is a non-traditional investment area that European insurers are increasingly moving into.