Agnetha Faltskog - one fourth of the group alongside Anni-Frid Lyngstad, Bjorn Ulvaeus and Benny Andersson - has confirmed she would like to "chat" with her former bandmates about the possibility of doing a one-off show, despite previously hinting she did not want to revisit the past.
The 60-year-old Swede said: "I feel it would be fun to meet, chat about the old days and perhaps perform together.
"We would not get together again for a tour like the Rolling Stones and some other old bands do. But I think we would all consider a one-off reunion, maybe for a good cause."
Agnetha - who has made three solo albums since splitting with the `Waterloo` hitmakers - added she was "uninterested" in the idea of any further fame because of how high-profile she was a young adult.
She told Swedish magazine M: "I am uninterested in appearing in newspapers and on television. Many people think that I am striking a pose - that I want to create a sense of shyness. But it`s just not something I want to do.
"I overdosed. When I was 15 I became a full-time singer in a band. At 18 I made my first record. When I was 25, Abba was formed. AfterAbba I made three solo albums. Maybe I have been productive enough."
In December, it was claimed the band - who rose to fame on the Eurovision Song Contest in 1974 - would perform at the royal wedding of Prince William and his fiance Kate Middleton on April 29.
Bookmakers Ladbrokes put odds of 1/2 the Swedish group would perform at least one concert before 2015 and 66/1 they would sing at the wedding.