As far as I've understood the Dialogflow runs under a specific 'Service Account' which can be obtained on the General tab of the Dialogflow (See below).
That 'Service Account' must have access to envoke the GCP Cloud Function which I thought that it would have if it was added to the 'Cloud Function Invoker' list.
Since I've added the Dialogflow service account to the GCP Cloud Function Invoker list without solving the problem something else must be wrong - but what!?
Best regards
Stig Andersen