As Japan's life insurance market matures, many companies are looking overseas for opportunities to expand.

One exception is MetLife Insurance K.K., whose chief executive says Japan offers scope for growth, both from new opportunities and from customers dissatisfied with their current insurer.

"We see Japan as a growth opportunity because of the macro environment, consumers who view their current adviser with a lack of trust, if you will . . . and we felt that this is the important opportunity to leverage the power of Metlife's brand," said CEO Sachin Shah in an interview in August.