Hi @Mehdi Nasreddine-Royer !
It's possible the user's mail server returned an error to our mail delivery service, and the user's email addresses wound up on a "pause" list internally in our mail service. One common cause of this error is creating the Atlassian account before the mail server has finished creating a user's mailbox if they're a new employee, for example.
Our support team can check for this issue, as well as other problems. Since we'll need the email addresses of the folks who aren't receiving invitations to check this out thoroughly and you're eligible for support, I'd suggest opening a support case at support.atlassian.com/contact with a list of the email addresses that aren't receiving invitations. Otherwise if you feel comfortable putting those email addresses here on Community (publicly), I can check those and edit the email addresses out of your reply.
Cheers,
Daniel | Atlassian Community Support
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