Gordon Bulloch, with two tries, and Brendan Laney, who held his nerve to kick two late, late penalties, were the heroes as the visitors won 27-22 in what was then known as the Millennium Stadium.
These pictures tell the story of a closely-fought match which saw the lead change hands seven times.
The game also marked the end of the legendary Bill McLaren’s commentating career in international rugby. He had begun in 1953 on BBC radio when he covered Scotland’s12-0 loss to Wales in Edinburgh, bowing out 49 years later.
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13. Hodge leaves it late
Duncan Hodge made a very late appearance in Cardiff as a replacement for Brendan Laney who injured himself while attempting a drop goal. The Edinburgh stand-off kicked a penalty in the dying seconds to seal Scotland's 27-22 win. Photo: Mike Finn-Kelcey/Getty Images
14. A proper victory
The grins on the faces of Mattie Stewart and George Graham tell their own story as the props celebrate a rare Scotland victory in Cardiff. Graham, wearing a Wales jersey, had come on as a replacement for Stewart. Photo: Mike Finn-Kelcey/Getty Images
15. Geech in charge
Scotland head coach Ian McGeechan and captain Bryan Redpath speak to the media during the pre-match press conference at the Millennium Stadium. Photo: John Gichigi/Getty Images
16. Toasting Bill McLaren
Bill McLaren is presented with a 50-year-old bottle of The Macallan whisky by Gregor Townsend and Chris Paterson in Cardiff ahead of his last Scotland commentary. McLaren began on BBC radio in 1953 and made the switch to television six years later. Photo: John Gichigi/Getty Images