Using SharePoint 2013 you can sync Portals data with Outlook very easily and its OOB functionality, but it is only one way synchronization.
To Synch outlook emails with SharePoint Portal we have implemented Outlook Add In feature
Using this Add In End user can push/send emails as an attachments to Existing SharePoint items.
Using this Add In you can access all available lists from SharePoint portal and select specific items from the list, to attach emails to it.
Supported Outlook versions
Microsoft Outlook 2003
Microsoft Outlook 2007
Microsoft Outlook 2010, x86 and x64
Microsoft Outlook 2013, x86 and x64
Microsoft Outlook 2016, x86 and x64
For More info visit us at: http://www.itcube.net/microsoftsharepoint.html