21 January 2016 Last updated at 09:36 GMT
Aidan McAnespie, 23, was shot dead at Aughnacloy on 21 February 1988.
Manslaughter charges brought against a soldier were dropped in 1990.
Mr McAnespie's brother, Sean, spoke to BBC News NI's home affairs correspondent Vincent Kearney.
A decision not to prosecute a soldier who shot dead a Catholic man at a border checkpoint in County Tyrone nearly 30 years ago could be reversed.