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Michael Bezjian/Getty Shanna Moakler
"I wish the happy couple a lovely marriage," she said in a statement to Us Weekly. "I will continue to only want the best for my children."
Jeff Kravitz/FilmMagic Shanna Moakler and Travis Barker
While Moakler, 47, wasn't in attendance at the pair's intimate Italian wedding on Sunday, she commented on Kardashian's decision to make Moakler's daughters — Alabama Barker and Atiana de la Hoya — bridesmaids in the ceremony. "It was a beautiful gesture to include my children in such a gorgeous affair."
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Her son, Landon Barker, was also included in the wedding. Moakler added she was glad the children "looked happy and got to see Italy."
Moakler and Barker were married from 2004 to 2008. They welcomed Alabama, 16, and Landon, 18, together, and Barker has remained close with his former 23-year-old stepdaughter, de la Hoya.
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This is the third recent wedding for Barker, 46, and Kardashian, 43. The pair tied the knot in a "practice wedding" at a Las Vegas chapel in April and were legally married at a California courthouse before traveling to Italy for their extravagant third celebration.
Though the soon-to-be newlyweds didn't have a marriage license at the time of their Vegas ceremony, Moakler wished them well.
"Congratulations to the happy couple," she told PEOPLE. "I wish them the best that life has to offer on their journey together."