We are currently utilizing an active cyber-security monitoring platform that provides additional visibility into our third party's risks. There are many on the market, but a few popular platforms offering this service include BlackKite, UpGuard, and SecurityScorcard. The platform we utilize employs the Factor Analysis of Information Risk (FAIR) model which aims to quantify the amount of risk each vendor presents to your organization. Additionally, the platform will compare the information pulled against multiple technical frameworks (including NIST, ISO and CAIQ for cloud providers) producing a compliance score for each framework. Some platforms also offer real-time vulnerability updates and reports (including remediation recommendations) that can be shared with vendors as part of ongoing monitoring.
I could go on for a while about this, so I'll keep it short. However, I just wanted to give a quick overview of how my organization is gaining more insight into our vendor's cybersecurity posture. Best regards!