The main goal of this research work is to analyse risk transmission, in a dynamic context, between stock markets of the Latin American Countries (LAC) region, in the context of the subprime and European sovereign debt crises. Specifically, we intend to evaluate the volatility transmission between markets, as well as the respective asymmetric effect. For this purpose, we use a volatility measure based on opening, closing, maximum and minimum daily prices. We intend to answer the following questions: do Latin American stock markets show higher levels of volatility resulting from the financial crises of 2008 and 2010? The results suggest there is a risk transmission resulting from the subprime crisis. However, the empirical evidence points to a decrease in risk during the sovereign debt crisis of 2010, i.e. the high volatility during the subprime crisis tends to decrease in the period 2010-2012.