Washington, D.C., lawyer Thomas Fay has spent years hounding the Libyan government for money on behalf of victims of terrorist attacks. Now he’s hoping to collect — from American companies.

Fay has sent letters to 13 brand-name corporations, including Exxon Mobil and Chevron, notifying them that if he wins his case against Libya, he’ll be coming after them. He has even sent one to White & Case, the prominent law firm that recently signed on to defend Libya.