In this paper we present a simple method to deal with Blind Source Separation (BSS) of Finite Impulse Response (FIR) convolutive mixtures. The global method proceeds in two steps. The first step consists in separating each source contribution in the mixture. This step provides several filtered version of each source. The second step consists in retrieving the original sources from the set of filtered versions of each source using a blind system identification method. We present some results on a mixture of speech and music.