The chapter focuses on how the European Union (EU) and European powers have struggled to navigate between transatlantic alliance and growing Eurasian connectivity, which is energized recently by China’s rise. When first proposed by the EU in 2016, “strategic autonomy” was about the European search for independent capacity to militarily balance against the Russian power. When applied to Asia, the concept is mainly about Europe’s choice in a region, which is fast becoming the center of the global political economy but is increasingly dominated by US-China competition. With the EU labeling China “a systemic rival,” the multipolarization behind European strategic autonomy has hardly unfolded as envisioned by Beijing. The chapter first examines Europe’s limited presence in Asian security and addresses the unfulfilled transatlantic potential under the US rebalance towards Asia during the Obama administration. Next it analyzes the European search for strategic autonomy amid the emerging great-power competition in the Indo-Pacific. Finally it examines the geoeconomics associated with the Belt and Road Initiative and Europe’s broad relationship with China.