This paper investigates the degree of global versus regional financial integration in Southeast Asia during the period 2004-2012. We examine integration in the money and bond markets in Asia by employing a covered-interest-parity-based measure of financial integration. The impact of the 2008 financial crisis as well as the recent regional bond initiatives on the integration process of Asian money and bond markets are specifically investigated. Empirically, we adopt the Phillips and Sul (2007) convergence methodology that has not been previously employed to examine the integration process in Asian money and bond markets. We find evidence of both global and regional integration in the money market pre 2008 but once the crisis hit, the process of global integration comes to an abrupt halt. However, regional integration, albeit at a slower pace, is still clearly evident in the post-crisis period. As for the Asian bond market, evidence of both global and regional integration is found but, in comparison, the latter is more convergent post 2008. Regional integration is stronger when interest rates with longer maturity are considered. In addition, we identify some convergent sub-groups of countries and this suggests that a multi-tiered style of convergence is present.