A group of Microsoft Products and technologies used for sharing and managing content, knowledge, and applications.
Hi JBSFM,
Sorry for the inconvenience caused by this issue.
Here are my test steps, please have a look:
1.Access my site and click the Share button then type account to share my site with an external user.
2.Sign in Office portal with that external user's account then move to the mailbox and click the notice mail to access that site.
3.Move to that external user's own SharePoint site and I can access both sites normally.
4.Close the sharing site then click the site name in invitation mail again to access the sharing site.
If it that your scenario? If so, to check if this issue is browser cache related, please sign out all Office accounts then clean browser's cache to check if your external user can access both sites normally. Please also try other browsers to see the outcome.
Please have a try and share with me your results.
Regards,
Neo
[Updated by Neo Wu MSFT, Mar 15th, 4:06 PM(UTC)]