And the Norwegian football star has attempted to downplay the incident, insisting that she "didn't consider it as a sexual harassment".
The Lyon and Norway striker had just collected the inaugural Women's Ballon d'Or trophy when Solveig made the shocking suggestion.
Hegerberg was clearly shocked and upset, as she muttered "no" before making a quick exit of the stage.
Solveig later took to Twitter to post an apology where he claimed Hegerberg "understood it was a joke".
And now Hegerberg has revealed the 42-year-old musician met up with her after the ceremony.
In a press conference today Hegerberg, who has scored more than 250 goals at the age of just 23, said: "I've had a lot of questions about that subject.
"He came to me after and he was really, really sad that it went that way.
"I didn't think about it in that moment, I didn't consider it as a sexual harassment or anything, I was just happy to get a dance and celebrate winning the Ballon d'Or to be honest.
"I think this is a fantastic day for women's football in general, it's historical, it's a big step forward for women's football to have this award.
LUK WHO'S TALKING Find out who Ballon d'Or winner Luka Modric dedicated his award to
"And that's why you need to take the moment and really cherish it and show the importance of pushing younger girls to pursue their dreams."
Solveig was heard laughing after making his request, which has been described as "pure sexism" by some.
The camera then panned to PSG superstar Kylian Mbappe, who looked embarrassed by what had just played out on stage in Paris.
Mbappe had earlier won another inaugural award – the Kopa Trophy, given out to the best young player as voted by leading journalists in Europe.
Unsurprisingly, Solveig's comments were met with shock and outrage on social media.
Journalist Victoria Uwokunda described it as "nonsense" before questioning if Solveig had asked "if Modric can twerk as well".
SUPER LUKA TAKES TOP PRIZE
REAL MADRID'S Croatia midfielder Luka Modric was named winner of the 2018 Ballon d'Or on Monday, breaking Cristiano Ronaldo's and Lionel Messi's decade-long hold on the prestigious award.
Modric, 33, helped Real Madrid win a third successive Champions League title in May and also captained Croatia to their first World Cup final, being named player of the tournament despite his side losing 4-2 to France.
"It's a unique feeling. I'm happy proud and honoured, I have a lot of emotions right now, it's hard to describe in words," said Modric, wearing a tuxedo as he collected the award from presenter and former France forward David Ginola after a glamorous ceremony at the Grand Palais in Paris.
The award, voted for by journalists and organised by French magazine France Football, has been dominated by Barcelona's Messi and Ronaldo, first when he was at Manchester United and subsequently with Real Madrid, since 2008.
The last player to lift the award apart from the Argentine and Portuguese, who have won it a joint-record five times each, was Kaka in 2007 when the Brazilian played for AC Milan.
Juventus forward and 2017 winner Ronaldo came second, while Atletico Madrid and France striker Antoine Griezmann came third.
Jessica Dunne described Solveig as a "disgrace", while Francisco Taveira posted on Twitter that the hosts' comments "overshadowed" the event.
Tennis star Andy Murray was among those outraged by what happened, leading to ask why women "have to put up with that s***".
Thariq Amir wrote that her special moment "will always be tainted while Amit Kamath wrote that it was "disgusting".
Another posted that Solveig is "an unreasonable and foolish host" and that he showed "levels of disrespect".
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