The initial public offer (IPO), through which the insurer is looking to raise about Rs 5,700 crore, received bids for 7,79,16,850 shares against the total issue size of 6,16,66,740 shares, data available with the NSE till 1230 hours showed.
ICICI Lombard General Insurance on Thursday had raised Rs 1,625 crore from anchor investors.
The company's IPO involves dilution of up to 8,62,47,187 shares by promoters ICICI Bank and Fairfax.
The insurer is looking to raise about Rs 5,700 crore at the higher end of the price band which is fixed at Rs 651-661 per share.
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ICICI Lombard General Insurance is a joint venture between ICICI Bank and Canadian NRI Prem Watsa-promoted Fairfax Financial Holdings.
For the ICICI Bank group, this is the second public offer this fiscal. Its life insurance arm ICICI Prudential had raised Rs 6,000 crore through an IPO earlier.
CLSA India Private, Edelweiss Financial Services and JM Financial Institutional Securities are the book running lead managers of the IPO.