I would like to be able to select and import one or more e-mails from my external inbox, into the Activities of a Case, creating a new activity. Is this possible and if yes, how? Who is familiar with this and how is it done?
CiviCRM can be configured to read an email into an activity. The section Email-to-Activity processing in the chapter Email system configuration of the manual describes this in detail. But as a short summary, it entails configuring an IMAP email box and process it with a scheduled job.
Are you using MS Outlook or Gmail? We've written a couple of extensions/plugins which allow the functionality you've described.
A couple of posts will give you some background to the project
We've also recently done some work allowing you to sync CiviCRM Groups to mailing lists within your outlook client - blog post to come.
The CiviCRM extension and the outlook plugin can be found in our git repo along with installation instructions.
Thanks Erik and Pete for the nudges!
This blog post gives a good overview of an excellent way to import only certain tagged emails into CiviCRM. I found it very helpful and clearly written.
This blog explains how we delivered some improvements to 'inbound email' so that they could include the case id in the subject, and have the email added to the relevant case