At the 1997 ICC Trophy, Eames again played in all of Hong Kong's matches, and was ranked fifth for runs amongst his teammates, scoring 136 runs from eight innings. His highest score, 33, came against Papua New Guinea. For two games at the 2000 ACC Trophy, Eames was moved up the order to open the batting, scoring eleven runs against Malaysia and three runs against the United Arab Emirates (UAE). The following year, he appeared in a third consecutive ICC Trophy, featuring in four matches and scoring 45 from 44 balls against Papua New Guinea (part of a 120-run partnership with Rahul Sharma). In 2004, Eames represented Hong Kong in the ACC Fast Track Countries Tournament, through which the team qualified for the 2005 Intercontinental Cup. Aged 39, he appeared in an Intercontinental Cup fixture against the UAE in April 2005, which held first-class status. His last games for Hong Kong came at the age of 41, in the 2007 World Cricket League Division Three tournament.