A new bill for a new supplementary insurance with a new name: the health supplement:
data.si/blog/2018/03/08/health-supplement-from-20-to-75-euros/
 
The current system is that you pay your employer a gross salary (say 1000 euros for ease of calculation), and then the contributions are calculated according to this figure. The worker must of course earn his full cost to the employer.
Health care is currently paid for:
-6.63% (compulsory health insurance) of this gross salary, i.e. 66.30eur, which is deducted from the gross salary.
-6.56 (again compulsory health insurance) on this gross salary, i.e. 65.60 euro, which is added as a cost to the employer - so the cost to the salary is no longer 1000 but 1065.60 euro, which of course the worker has to earn.
-additional ~28eur of supplementary insurance (which will then be 25,30, 35, or whatever) which the employee has to pay himself.
So 3x work for the same thing!
Similarly for pension insurance, 15.50% of the 1000eur is deducted from the employee, and the employer is charged 8.85% extra, again 2x for the same thing.
 
Similar to an earlier suggestion here, I suggest simplification, raising the basic wage to today's gross-gross level (correcting the figures on paper), and ONE health contribution directly visible on the pay slip, ONE pension contribution, ONE parental care contribution, etc., and to abolish the compulsory additional insurance co-payments for the services that compulsory insurance has to cover.