The ATS is a US law that lets foreign citizens bring claims to US courts for damages done outside of the country. Claims are rarely upheld however, because judges have narrowly interpreted how the ATS is applied.
This happened in a 1993 class action suit against Chevron and subsidiary Texaco, representing some 30,000 residents in the Amazon according to Amnesty International. The case was dropped by the US courts and palmed off to Ecuador where it is still ongoing. Other corporations domestically unscathed after US courts dismissed ATS claims include Talisman Energy Inc., the Southern Peru Copper Corporation and Coca-Cola.