PowerBI + SSRS 2016

dalisaydavid The simple answer is "You can keep this all on-premises"

The longer answer, and what the blog refers to, is that you can integrate your Power BI Service with SSRS and interchangeably use SSRS report elements in the PBI Service, as well as see Power BI Reports in SSRS.

The differentiator here is that you are only using the Power BI Desktop (free download) to visualize those reports in SSRS, there is no cloud service involvement. SSRS currently supports you uploading that PBI Desktop file to the SSRS server. So, your scenerio is supported, and all your data will stay on premises.

From my understanding, the display and use of those report files in SSRS will get better with time as well.