ABBA have hinted that they might reform for a one-off show despite repeated vows in the past that they would never sing together again.
The Swedish pop quartet has previously turned down a raft of lucrative offers to reunite including a £600m (€666m) tour deal.
But Benny Andersson and Bjorn Ulvaeus, the male half of the group, have now offered fans a glimmer of hope.
In an interview with The Times, the pair were asked if they would consider a one-off performance, perhaps with an orchestra, that could be beamed around the world.
In a terse response that will delight Mamma Mia! devotees, Andersson, 63, replied: “Yeah, why not?”
He continued: "I don't know if the girls sing anything any more. I know Frida (Anni-Frid Lyngstad) was in the studio," adding: "It's not a bad idea, actually."
Referring to the last song on the group's Super Trouper album, The Way Old Friends Do, Ulvaeus quipped: "We could sing The Way Old Folks Do."
The band, who split in 1982, previously dismissed any suggestion of a reunion, insisting they would never take to the stage again.
In 2000 they rejected a $1bn (€666m) offer to play a 100-date world tour.
At the time Ulvaeus, 64, said: “This is the budget of a small country so we had to give it some thought.
“In the end we decided that, whatever offer was on the table, it would be stupid to re-form and utterly ludicrous to change the images people all over the world have of us.”
And two years ago Ulvaeus said: “We will never appear on stage again. There is simply no motivation to regroup. Money is not a factor and we would like people to remember us as we were — young, exuberant, full of energy and ambition.
“I remember Robert Plant saying Led Zeppelin were a cover band now because they cover all their own stuff. I think that hit the nail on the head.”
Andersson has also previously dismissed talk of a reunion, saying: “We’d need a good reason to re-form and I just don’t see one. We could never recreate the old days. I’d rather be remembered for the way we were 30 years ago."
The group, whose hits include Dancing Queen, Take a Chance on Me and Money, Money, Money, has sold 370 million records.
Famed for the spandex costumes, they have enjoyed a renaissance in recent years, helped by the success of the film version of Mamma Mia!, the musical based on their songs.
However, it remains to be seen whether former female band mates Lyngstad and Agnetha Fältskog would support the idea of a reunion.
Lyngstad, 64, who married a German nobleman, said in an interview in 2005 that she had no interest in returning to a music career.
Fältskog, 59, has enjoyed a solo pop career since ABBA split but has not hinted at a reunion.
Andersson and Ulvaeus are promoting their new musical Kristina which opens at London's Royal Albert Hall on April 14.