If there are errors during your data import, we tell you in the attachment in the summary email. A common error that you may encounter an error in the summary email is INSUFFICIENT_ACCESS_ON_CROSS_REFERENCE_ENTITY. This means the record you are importing is associated with an object that the importing user does not have access to.
For example, when importing Contact records that reference Accounts, if the importing user does not have Read/Create/Edit access to the Account object, each row referencing an Account will fail with this error.
To fix this error, you have two options. Update the custom profile being used by the importing user or if a standard profile is being used, create a custom permission set.
For more information on errors that can be encountered within Salesforce, what they mean and how to fix them, please review the following resources:
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