But Hegerberg's victory was overshadowed by Solveig apparently requesting the 23-year-old to dance on stage with her Ballon d'Or trophy.
Hegerberg said Solveig also apologised to her personally, even though "I wasn't upset".
"Being historical and the first woman to win the Ballon d'Or is a huge moment in my life", she added. "I, of course, didn't want to offend anyone".
"I didn't really think about it at the time". She is a serial Champions League victor and now the morning after we are talking about an inappropriate comment.
A clip of Solveig asking Hegerberg if she wanted to dance and whether she knew how to twerk is being shared widely on social media. "It's a huge step for women's football", Hegerberg said.
The incident was a major talking point despite Hegerberg´s achievement in becoming the first victor of the women´s Ballon D´Or, an award which has been handed to male footballers since 1956.
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"What questions did they ask [best men's under-21 player Kylian] Mbappe and [best men's player Luka] Modric?"
Hegerberg told BBC Sport she "didn't consider it sexual harassment or anything in the moment".
Hegerberg scored a tournament-record 15 goals for Lyon in the Women's Champions League and netted 31 goals in 29 goals across all club competitions this season.
Cristiano Ronaldo and Lionel Messi have had a stranglehold on the Ballon d'Or award for the last decade, claiming it five times each, but during a glittering ceremony at the Grand Palais, just off the Champs-Elysees, it was Modric's night: "It's a unique feeling".
Scotland Women's National Team coach Shelley Kerr branded the incident "unacceptable", telling STV: "It was totally inappropriate".
In a second post, he said he had spoken to Hederberg and that she had understood the joke.
She also expressed frustration with the uneven pace of progress for women. "Sometimes you have episodes or situations where you feel like, "damn, we're in such a man's world", she said.
This marks the first year a female footballer has been recognised with a Ballon d'Or award, which honours the player deemed to have performed the best over the previous year. There's a lot of discussions to take and to bring on the table as a woman in 2018.