Advanced and emerging market economies have rapidly integrated into international capital markets and this growing globalization of financial markets has led to some important changes in the patterns of saving and investment across the world. The main goal of this paper is to test whether the cross-border asset trade has led to improvements in the intermediation of these savings -- that is, foster development of domestic financial markets. The authors have collected annual information on financial market development, financial openness, and other control variables for a sample of 145 countries for the period 1974-2007. Controlling for the likely endogeneity of financial openness, the analysis finds that rising financial openness expands private credit, bank assets, and stock market and private bond market development, and generates efficiency gains in the banking system. However, the impact of financial openness on domestic financial development may depend on the level of institutional quality, the extent of investor protection, and the degree of trade openness. In general, rising financial openness will enlarge the size and activity of financial intermediaries, improve efficiency in the banking system, and contribute to deepen private bond markets in countries with moderate to high levels of institutional quality and investor protection as well as in countries with high trade openness.