PartnerRe estimated the cost of the terror attacks in the US at $350 - $400m (£233m - £266m).
The Bermuda-based reinsurer said it could handle the scale of the losses involved.
Chief executive Patrick Thiele said: “PartnerRe's share of losses is in line with our global market share, and well within our group financial capacity.”
Albert Benchimol, chief financial officer, said: “Information is still incomplete, but based on our market share and treaty exposures to this marketplace, we expect damage claims to be from property, casualty and aviation programs written by our operations in the United States, Europe and Bermuda."