Two integrated financial markets are generally subjected to common shocks revealing that commonalities in fundamentals drive the underlying return processes. In such a case, volatilities should share a long-run component although their transitory components might temporary diverge. Accordingly, we investigate financial integration in East Asian by analyzing the co-persistent nature of their integrated volatilities. Using recent fractional cointegration techniques, we find that volatilities of several markets converge in long-run to a common stochastic equilibrium. Our results reveal that a global integration process drives the most developed markets of the region, while no evidence of co-persistence appears between emerging markets