The partners said insureds and beneficiaries should take appropriate measures to minimise their losses.
They urged claimants to continue to keep CBLI informed of any claims, and, while claims would continue to be assessed, no payments could be made by CBLI while the company remained in interim liquidation.
"As is the position with open claims, any costs incurred by claimants which may normally be claimable under their policies and for which the policies may be liable will be entitled to rank as unsecured creditor claims should CBLI enter liquidation."
"Should you have any queries in respect of your policy, you should contact your broker or professional advisor in the first instance."
CBL Insurance describes itself as "New Zealand's largest and oldest credit surety and financial-risk provider". It operates in 25 countries.
"The business is focused on financial-risk products, builders' risks, sureties, guarantees and contractor bonds worldwide - in particular in Europe and Scandinavia," the company's website says.
Its parent CBL Corporation appointed voluntary administrators KordaMentha over the weekend to prevent other regulators from taking action after the Reserve Bank move.
NZX suspended CBL Corporation stock earlier this month due to concerns the market operator's regulation team had about whether the company had given complete and true material information to the market.
Trading in the stock was halted before the suspension, with details eked out over subsequent days that prudential regulators in New Zealand and abroad questioned the adequacy of reserves for its French construction insurance division, prompting a credit-rating downgrade and prospective capital raise.
CBL Corporation last week said its European subsidiary's lawyers were opposing an order from the Central Bank of Ireland instructing it to stop writing new business immediately.
CBL said its subsidiary CBL Insurance Europe Dac was continuing to otherwise operate normally and existing policies remained in force.