A classically trained pianist who hails from Saransk, Russia, Grigorieva, 39, penned every song on the album except for "Say My Name," which exclusively debuts on PEOPLE.com – for that she collaborated on the lyrics with none other than Gibson himself.
Listen to the song here:
"It is the first and one of the simplest songs on the album, but also one of the most intimate," says Grigorieva, whose baby with Gibson, 53, is due in late fall. "It is naked, intimate, raw emotion, little more than piano and voice as if it is a cry from the soul."
Signed to Gibson's record label, Icon Records, Grigorieva first stepped out with the Oscar-winning filmmaker at a Los Angeles screening of X-Men Origins: Wolverine on April 28, two weeks after Gibson's wife Robyn filed for divorce. Gibson, who has said that he and Robyn have been separated for three years, announced the pregnancy on the May 25 Tonight Show with Jay Leno.
Starting at 9 a.m. EST "Say My Name" may be downloaded at www.oksana.fm, where more free downloads of new tracks from Beautiful Heartache and videos will be available each week.