"Our response to Evie’s comments in the media was to immediately reach out to her to profoundly apologize for the experience she detailed while working on Lost," the statement from creators and executive producers J.J. Abrams, Damon Lindelof, Jack Bender and Carlton Cuse read.
"We have not yet connected with her, but remain deeply and sincerely sorry. No person should ever feel unsafe at work. Period."
While promoting Ant-Man and the Wasp, Lilly told press she felt "cornered" into performing a "partially naked" scene in the third season.
"In season 3, I'd had a bad experience on set with being basically cornered into doing a scene partially naked, and I felt had no choice in the matter," Lilly said.
"And I was mortified and I was trembling and when it finished, I was crying my eyes out and I had to go on do a very formidable, very strong scene thereafter."
She added that the issue arose again the next season.
"In season 4, another scene came up where Kate was undressing and I fought very hard to have that scene be under my control and I failed to control it again."
"And so I then said, 'That's it, no more. You can write whatever you want—I won't do it. I will never take my clothes off on this show again,' and I didn't."
Evangeline Lilly now stars as the Wasp in Ant-Man and the Wasp, in theaters now.