FinOps is a way of working, with supporting tooling, to make cloud costs visible, allocatable and controllable. According to the FinOps Framework it covers understanding usage and cost (ingesting, allocating, reporting), quantifying business value (planning, forecasting, unit economics) and optimising usage and rates. Tools do this across multi-cloud and Kubernetes environments. Cloudability and CloudHealth are well-known non-European reference points.
A FinOps tool is above all a data connection to your cloud accounts. It reads billing files, resource tags and configuration, which gives a complete picture of your architecture and contract terms. Once a tool is also allowed to act, for instance to downsize servers, it holds write permissions, and the vendor's access model becomes your risk. The subject has a second side: cost insight is also a means of reducing dependence on a single cloud. The Data Act provides for removing switching charges, including data egress fees, which makes comparisons between providers more realistic.
When choosing a European option, look for read-only roles with minimal permissions, a collector that runs in your own environment, storage of cost data in your own region, support for European clouds alongside the large hyperscalers, and export of allocation and reporting.