The 19-year-old scored the equaliser for the First Division side in their 3-1 Scottish Communities League Cup semi-final defeat against Celtic in January 2012, in what was his first appearance at the national stadium.
However, it is the memory of his miss when the scores were level which has gnawed away at him since and ahead of the William Hill Scottish Cup semi-final clash with Hibernian at Hampden, Fulton said: "Obviously I will always remember scoring, it was my first game at Hampden and against Celtic. It will always be a special moment but I don't think I will ever forget that miss."
He added: "A couple of boys said it was a hard chance but I think I would have scored it in training. That chance would have put us 2-1 up and you never know what might have happened then.
"Hopefully, if I am playing on Saturday I can put that right. We want to go one better and get to the final."
Fulton, like everyone else in Scottish football, is aware that it is 111 years since the trophy has been paraded in Leith and he believes the pressure on the Scottish Premier League side could work in the Bairns' favour.
"I think there is always going to be pressure on Hibs," he said. "They are the favourites, they are in the SPL but that (pressure) might help us.
"Going into a semi-final you always think it is going to be your year and if we get the same level of performance and commitment from the players, then we would be quietly confident.
"There is a hunger in the boys to reach a final and hopefully we can do it.
"Hopefully we play as well as we did against Celtic - if not better - and try to get the win. But Hibs will be confident of getting a win as well."