This paper studies the modelling and estimation of dependence across international financial markets, with a focus on the structure of dependence. A new approach is proposed based on a mixed copula model and the model is constructed so that it can capture various patterns of dependence structures. The marginal distribution of asset returns in each market is estimated non-parametrically and a quasi-ML method is used to estimate the mixed copula. The methodology is applied to estimate the dependence across several international stock markets. The empirical findings are shown to have some implications that are important for a wide range of multivariate studies in Economics and Finance.