Costs borne yourself, direct claim against the tortfeasor.
Costs you bore yourself and that no social insurance carrier reimbursed you can assert directly against the tortfeasor. These include, for instance, deductibles, private co-payments or services the insurer does not cover. Collect all receipts, because only documented costs can be enforced.
Next steps: document all self-borne costs, separate them from those settled through the insurer and assert them against the tortfeasor.