Dion, 41, was reported pregnant in August, after she underwent fertility treatment at a clinic in New York, and her representatives at the time confirmed the news.
But within days, the Quebec-born Dion learned the embryo had not been implanted successfully, her spokeswoman Kim Jakwerth said on Wednesday.
"We are trying again to have a second child" with the help of a fertility doctor, Angelil told the newspaper.
Dion and Angelil's first child, 8 year-old Rene-Charles, was also conceived through in vitro fertilization.
Grammy winner Dion had hit songs with "Power of Love," "If You Asked Me To" and "Love Can Move Mountains."
(Reporting by Alex Dobuzinskis: Editing by Bob Tourtellotte)
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