In large, mostly English-speaking countries, where the "critical mass" of scientists working in different subfields of science is achieved, the peer review system may be sufficient to assess the quality of scientific research. However, in smaller countries, outside the Anglo-American circle, it is important to introduce different systems to identify research of high quality. In Poland, a parametric system for assessing the quality of research has been introduced. It was largely based on the impact factor of scientific journals. While the use of this indicator to assess research quality is highly questionable, the implementation of the system in the Polish reality is even worse. Therefore it is important to change and improve the system currently used by the Ministry of Science and Higher Education to both evaluate and, more importantly, finance science in Poland. Here, a system based on three factors, i.e. the impact factor, the institutional h-index, and the institutional number of citations, is proposed. The scientific quality of institutions in Division VI: Medical Sciences of the Polish Academy of Sciences were evaluated and the results were compared with the existing system. Moreover, a method to identify high-quality researchers and institutions at the national level based on the quantity of highly cited papers is shown. Additionally, an attempt to identify the highest quality Polish research on an international level is proposed. This is based on the number of individual citations, the individual h-index, the number of publications, and the priority of the discovery.