Reamonn, 19, was stabbed in February 2011 as he walked home from watching a football match at a pub.
Daryn Maxwell, 23, who stabbed the student three times for refusing to hand over his wallet and mobile phone in Blantyre, South Lanarkshire, was jailed for 19 years in December 2011.
Mr Gormley's parents Jim and Ann are campaigning for new legislation to allow judges to impose tougher sentences on knife criminals. They have met with the Lord Advocate Frank Mulholland QC and Justice Secretary Kenny MacAskill to secure their support for changes to the rules to allow judges to hand down consecutive sentences for blade offences.
At present, people convicted of multiple knife crimes can receive a concurrent sentence that sees them serve all of their sentences at the same time. Consecutive sentences run successively meaning the prisoner spends longer in jail.
Mr Gormley's aunt Anne-Marie McKay said: "We felt we had a moral duty to raise this.
"We want the law fixed so people who habitually carry knives know they will face serious sentences."
Prior to the murder, Maxwell had been jailed for a knife offence and then given a concurrent sentence when he was later found in possession of a knife while in prison.
The Gormley family believes that, had Maxwell received a consecutive sentence, he would have been in prison and unable to kill their son. Their campaign also calls for mandatory custody with no bail for frequent knife criminals, for knife crime to be punished as an aggravated offence, and for the establishment of a sentencing monitor to ensure tougher punishments.