You all know about the saga in the US and Ecuador against Chevron. Latest news: A federal appeals court vacated an order Monday by a New York judge that barred an $18 billion judgment in Ecuador against Chevron Inc. for contaminating the Amazon.
See here (Opinio iuris: a blog I recommend, by the way) for more, and here, for the text of the decision.
Also, I’d like to recommend: H. Muir-Watt, Chevron, l’enchevêtrement des fors. Un combat sans issue?, Revue Critique de Droit International Privé, 2011-2, pp. 339-351.