There is the Status Indicator, which is available on some of the Portfolio Views. However, I had some challenges with this in the past, and can't recall exactly what those challenges were, but think it related to all my PPM clients don't use OOTB calculations for the Overall Status, so the Status Indicator didn't fully work.
Alternatively, you could create a Overall Status attribute on Project, and have a Update/Insert Process on the Status Report, to push the latest inserted/update Overall Status from the Status Report to the Project. Push the new attribute over to the Portfolio Investment, and it then can be used on majority of the Portfolio Views.