Omer Riza’s side will be looking to do something no Cardiff team has done in 52 years when they travel to Sheffield United for their FA Cup third-round tie on Thursday (19:00 GMT).
Cardiff’s 3-1 win at Bramall Lane in January 1972 is the only time they have beaten the Blades in the competition, having lost more recent cup ties against them in 1999 and 2004.
The class of ’72 was full of legendary players who had shocked the mighty Real Madrid in the European Cup Winners’ Cup at Ninian Park the previous year, with the likes of Brian Clark, Bobby Woodruff and Gary Bell in the team.
One of the goal scorers in that Sheffield win was club legend Don Murray, a Scottish defender who made more than 400 appearances for the Bluebirds between 1962 and 1975.
“It was a game where I scored one of my few goals for Cardiff – I only scored about three in all my hundreds of games,” said Murray, now 78.
“I went up for a corner, it was knocked down and I was stood about six yards out. I had the opportunity to volley it and it flew in.
“It was a real magic moment for me, but the lads took the mickey out of me – ‘what are you doing there? Centre halves are not supposed to do that!'”
Murray’s fellow defender David Carver and midfielder Woodruff were the other scorers in front of a Bramall Lane crowd of almost 30,000.
“The Sheffield United supporters were always passionate about their football – just like our fans at the old Ninian Park,” said Murray.
“The support we had from the Cardiff fans that day was quite something. We played really well, and were delighted to beat them that day.”
Cardiff went on to knock out Sunderland in round four that season before losing to eventual FA Cup winners Leeds United in round five.
Murray, who also had spells at Swansea City and Newport County towards the end of his career, still lives in the Cardiff area and attends games occasionally.
He thinks they need to add experience in the transfer window if they are to avoid relegation from the Championship.
“They’re going to struggle, I think,” said Murray.
“They’ve had some fairly decent results in the last few games, which I hope can continue.
“When I look at it, they’re quite a young side with some promising players there.
“I think to steady and improve things they need three or four experienced and established players to play alongside them.”
So what chance do Cardiff have of emulating Murray’s team of 72 and knocking United out of the cup on their own turf?
Slim odds, perhaps, given Chris Wilder’s promotion-chasing side have not lost at home all season.
“There’s always a chance. There’s a possibility for them,” added Murray.
“I wouldn’t be totally confident, but stranger things have happened.”
Listen to more with Don Murray during Radio Wales Sport coverage of the game, from 18:30 on BBC Radio Wales and BBC Sounds.