The most appropriate next step when the external reviewer and the chief audit executive cannot agree on the importance of several deficiencies is for the reviewer to issue the report, noting the deficiencies with comments that address the areas of disagreement. This approach allows for a balanced presentation of the findings, ensuring that senior management and other stakeholders are aware of both the deficiencies and the differing perspectives regarding their significance.

Best practices in handling disagreements during external quality assurance reviews, as recommended by IIA guidance on quality assurance.