It looks like the Chromium Team is working on implementing Synchronized Notifications in the last Chromium build.

From what I can see, it looks an unique upcoming service (named "Sample App" during the development) will bring synced notifications into Chrome.
Work in progress can be followed by enabling the chrome://flags/#enable-sync-synced-notifications flag.

Source: http://git.chromium.org/gitweb/?p=git/chromium.git;a=commitdiff;h=e4393426eb5443ad5e3b61bd37255192e1ffb12f
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