New answers tagged rbs
Even if it was available in the online versions, Remote Blob Storage would just offload the files to the file system of the SharePoint servers (or wherever MS would deem appropriate), not keep them locally. In conjunction Wictor's suggestion, you could also try to use a Page Viewer web part and point it to the local file share. This will surface the files ...
There is no possibility for any kind of custom Remote Blob Storage for Office 365. You must use an on-premises service such as SharePoint 2013 or file shares locally. You could build a SharePoint App that Surfaces the data/links to your on-premises data.
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