Sync Outlook.com with Outlook 2010, 2007, 2003, or 2000
From CompanionLink Support
Outlook.com launched in August 2012. It synchronizes with the Outlook 2013 client, but not older versions of Outlook. You will need third-party software to do this.
CompanionLink will synchronize Outlook 2010, 2007, 2003, and 2000 contacts, calendar, and tasks to Outlook.com.
1. Download CompanionLink for Outlook.
2. Select "No device - sync with Outlook.com / Windows Live" in the first dropdown box.
3. Select "Microsoft Outlook" in the second dropdown box.
4. Click the Sync button.
We also have a blog post that describes this in detail.