Abba always vowed never to reform despite a raft of lucrative offers and the runaway success of the Mamma Mia! stage show and film.
But it seems the spandex-clad Swedish pop quartet could be persuaded to change their minds.
In an interview today, Benny Andersson and Bjorn Ulvaeus, the male half of the group, offered fans a glimmer of hope.
Asked if they would consider a one-off performance that could be beamed around the world, Andersson said: "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 Super Trouper album, The Way Old Friends Do, Ulvaeus quipped: "We could sing The Way Old Folks Do."
The band members, who split in 1982, previously dismissed any suggestion of a reunion, insisting they would never take to the stage again.
The group, whose hits include Dancing Queen, Take A Chance On Me and Money, Money, Money, sold 370 million records.
Andersson and Ulvaeus are promoting their new musical Kristina which opens at London's Royal Albert Hall on April 14.
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