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This paper describes MISTRAL, the lattice translation system that we developed for the Italian-English track of the International Workshop on Spoken Language Translation 2007. MISTRAL is a discriminative phrase-based system that translates a source word lattice in two passes. The first pass extracts a list of top ranked sentence pairs from the lattice and the second pass rescores this list with more complex features. Our experiments show that our system, when translating pruned lattices, is at least as good as a fair baseline that translates the first ranked sentences returned by a speech recognition system.