There are already a few questions related to using the local storage with iframes to be able to share data across different domains. However, none of them addresses the issue when the "Block third-party cookies" is enabled.
Currently, by default now Chrome uses the option "Block third-party cookies in Incognito" which breaks the localStorage use within iframes whenever you use the incognito mode.
Is there any workaround for this problem? We're using post message to send the data for the iframe.