Almost all modern civil legal systems respect property rights as a privileged and fundamental right, which means the property rights of individuals cannot be restricted or taken away without due process of law. In the case of insolvency proceedings, the person's right to property is violated, as the debtor is deprived of this right, at least partially. In such situations, the property rights of the debtor and the creditor are strained against each other, even to such level that the debtor's livelihood and alimentation is threatened by the satisfaction of the creditor's demands. During insolvency proceedings, we should restore the property rights relationship that was broken on the part of the creditor as a result of the debtor's behavior at the expense of the debtor's assets, ensuring that the debtor's interests are also protected, and that the proceedings take into account the interests of both parties. National lawmakers should, therefore, take several aspects into account to create the material and procedural legislation on the basis of which property of private individuals can also be subject to insolvency proceedings. Lawmakers should act in an environment where, due to the impact of globalization, it is no longer evident that the debtor and the creditor are citizens of the same country. This is the reason it is also important to examine how the European Union regulates insolvency proceedings in the case of consumer over-indebtedness in a manner that crosses national borders and still remains inside the Union.