Ryan scored for Hearts in the Edinburgh club's 5-1 Scottish Cup win over city rivals Hibs
Expat James McGowan battled against extradition from Australia after twice calling a mental health helpline to confess to stabbing Owen Brannigan in November 1999.
The 58-year-old dialled counsellors on the day his oldest son, Ryan, scored for Hearts in the Edinburgh club's 5-1 Scottish Cup win over city rivals Hibs.
Due to a technical glitch both calls he made – during which he admitted he had "crossed a line" and killed a man – were accidentally recorded and were later handed over to Police Scotland detectives.
James confessed to stabbing Owen Brannigan in November 1999
Once you've crossed the line and you jump back, you know you can always go across
McGowan had denied murdering his former brother-in-law in a targeted attack after he had flown from his home in Adelaide, South Australia, to Scotland for his mother's funeral in Coatbridge, Lanarkshire.
He later claimed that Mr Brannigan had made comments about his late mother and that he snapped.
McGowan fled from Coatbridge and checked into a guesthouse in Ayr using a false name – but signed his own name in the register by mistake.
He had already been to a British Airways office to reschedule his flight back to Australia and managed to flee Scotland before the police caught up with him.
Owen Brannigan died in November 1999
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McGowan denied murdering Mr Brannigan and assaulting another man but was convicted by a jury at the High Court in Edinburgh and now faces an automatic life sentence. Jurors heard recordings of two calls he made in July 2012 to an Australian government-funded helpline.
He told operators his sons played professional football in Scotland and that one of them – Ryan – had scored in a Scottish Cup final.
McGowan also said he felt suicidal because his 32-year marriage had ended after he discovered there was "someone else" in the relationship.
He told the operator something was "slowly eating away" at him.
McGowan caught on CCTV at Kirkshaws Social Club hours before the murder
McGowan added: "Once you've crossed the line and you jump back, you know you can always go across. Some people can't go across it and I know I went and done it and it's a frightening thing to deal with. "You go, 'Jesus, I can't kill people.' But I did."
After the tapes were handed over to Scottish police, McGowan was extradited from Australia last year and is currently held at HMP Addiewell in West Lothian.
Ryan McGowan, who played for Hearts, Partick Thistle, Ayr United and Dundee United, was in court to see his father convicted. The striker, who now plies his trade in China, has been capped 18 times by Australia.
Brother Dylan – who now plays for Adelaide United – made 64 appearances as a Hearts defender and has been capped at under-20 and under-23 level by Australia.
McGowan, who blew Ryan a kiss from the dock before he was led to the cells, had tried to blame a now deceased man for Mr Brannigan's murder.