Bimeh Iran at a Glance . Being founded in 1935, Iran Insurance Company (Bimeh Iran) is still the pioneer in insurance industry in Iran. With market share of 40%, Bimeh Iran is the most influential insurance company amongst its competitors whose significant role in spreading the insurance culture could never be neglected. In addition, 43% and 37% of market share respectively belong to Engineering and Liability classes which are noticeable considering the existence of 26 other insurers in the market.