Educational discourse is becoming increasingly globalized. This trend is particularly pronounced in the area of assessment, where notions of accountability, comparability, and competition have become prevalent in many countries. Scholars have critiqued this trend. They contend that global assessment discourse provides educators with decontextualized terms and concepts for teaching, which have little connection to the lives of learners. The specific purpose of the paper is to critically consider the encounter between global PE assessment discourse and local educational traditions. The International Association for Physical Education in Higher Education (AIESEP) position statement on physical education assessment is taken as a case of global assessment discourse and is considered in relation to Swedish physical education traditions. Robertson's [(1995). Time-space and homogeneity-heterogeneity. In M. Featherstone, S. Lash, & R. Robertson (Eds.), "Global modernities." Sage] notion of glocalization is employed as a theoretical perspective. We begin our consideration by outlining general tenets of the position statement and of Swedish physical education. We then examine areas of synergy and tension. This examination is structured according to six issues: (1) rationales for assessment; (2) underlying views of learning; (3) teachers' role in teaching and assessment; (4) positioning of students; (5) understandings of subject content, and; (6) the ways in which contextual conditions are framed. Using a glocalization perspective, we raise three issues that have a strong bearing on the encounter between global discourse and local educational traditions and which provide insights into how assessment discourse within PE can be understood. These issues concern: (1) the risk of local educational traditions being appropriated by global assessment discourse; (2) the relation between assessment homogeneity and local diversity; and (3) meaningful PE practices. The paper is concluded with general reflections concerning implications for research and practice.