In the time of advanced digital technologies, the conflict between copyright and other fundamental rights has become more apparent. This article considers the copyright law’s balancing mechanisms as well as “external” constitutional balancing tools and their potential for resolving a conflict of competing interests involved in a text and data mining (TDM) process. This topic is actual and valuable for our constantly evolving society and the issue, therefore, is of high priority within the system of modern copyright law. It deserves to be discussed in a comprehensive manner in order to express the palpable and ubiquitous wave of interests in the interaction between copyright and the right to information and advanced technologies that can be seen as a “demand” of our digital world.