I live in Canada and one of the main two political party networks, federally and in most provinces, are heavily in favour of introducing privatized healthcare options to supplement or replace public funding towards public healthcare.
We have healthcare that is funded provincially by provincial taxes and federal funding. Hospital are publicly run, but there are many privately owned clinics that can bill the province for a range of services. Dental and eye services are private and are only covered if you have private insurance that covers them, but the more progressive forces here are looking to include dental in universal coverage.
Because of shortfalls in the public healthcare system, there is a movement in some provinces to enable private clinics to offer services that are traditionally offered through public hospitals. This would still be billed through the public system, but it is transferring the responsibility to meet healthcare demand to the private sector from the public sector.
Is this common in your European country? Do you only have public-owned clinics and hospitals, or do you have private businesses as well? Are there any political parties that want to change that?