ADMISSION AND ENFORCEMENT OF RULINGS FOR REPARATIONS TO VICTIMS OF CRIME
SECTION 29
A ruling concerning reparations to victims of crime made by the International Criminal Court and which has entered into final force, applies in Sweden and shall upon application be enforced here, unless otherwise prescribed by the second paragraph.
Such ruling does not apply in Sweden and may not be enforced here
2. if a ruling that has entered into final force concerning the same matter has been made in Sweden before such time.
Ne bis in idem - State's own court
EDIT.