The authors analyze changes resulting from impacts of the globalization process and the crisis on the financial markets, particularly on the conservative insurance sector, which is forced to accelerate the dynamics of structural changes. The adequacy of the current regulatory measures for the financial/banking markets, and the insurance sector in particular, is discussed, together with the consequences of implementing measures aimed at consumer protection/anti-discrimination measures, including the search for balance between higher internal stability and client safety on the one side, and efficiency of insurance for clients and effectiveness of the activity itself on the other side. Furthermore, the article addresses current internal problems of the sector. An opinion is expressed in conclusion that the insurance sector has potential to remain a stable sector, in spite of the outlined problems.