U.S. chess grandmaster Bobby Fischer, shown in 1971, a year before he won the world's most famous chess match, fled to Iceland in 2005 to avoid prosecution in the U.S. He remained there until his death in 2008. /AP hide caption itoggle caption /AP Parallels You Face A U.S. Legal Problem. Where Should You Run? June 10, 2013 The options aren't great. But those seeking to avoid prosecution have often claimed political asylum or fled to countries at odds with the U.S. Then there's Iceland.