In the context of reemerging universalistic approaches to health care, the objective of this article was to contribute to the discussion by highlighting the potential influence of global trade liberalization on the balance between health demand and the capacity of health systems pursuing universal health coverage (UHC) to supply adequate health care. Being identified as a defining feature of globalization affecting health, trade liberalization is analyzed as a complex and multidimensional influence on the implementation of UHC. The analysis adopts a systems-thinking approach and refers to the six building blocks of World Health Organization’s current “framework for action,” emphasizing their interconnectedness.