Expense claims bank rules

Do you mean to create a bank rule allocating an imported bank transaction to Expense claims => Expense claims payer? If so, you already can:

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The problem with doing so with an imported statement of a private credit card is that you must first create the credit card as a bank account of the business, because you can only import statements for bank accounts of the business. Then, after importing the statement, you would have a balance in the bank account showing up on your balance sheet that does not belong to the company. In the case of importing statements full of payments, you would have an ever-growing credit balance.