In this paper, we investigate financial spillovers between stock markets during calm and turbulent times. We explicitly define financial spillovers and financial contagion in accordance with the economic literature and construct statistical models corresponding to these definitions in a Markov switching framework. Applying the new testing methodology based on transition matrices, we find that spillovers from the US stock market to the UK, Japanese, and German markets are more frequent when the latter markets are in the crisis regime. However, we reject the hypothesis of strong financial contagion from the US market to the other markets.