The Australian-born supermodel and Erth Jewelry CEO gave birth to the couple’s second child, a baby girl named Gia “Gigi” Leblane Clark, on Monday, Jan. 15, a rep confirms to PEOPLE.
Trunfio and the Grammy-winning musician — whose also share son Zion Rain, 3 — welcomed their daughter at 4:44 a.m. She weighed 7 lbs., 8 oz.
“Gia is named after my late father, Giuseppe Antonio Trunfio, who passed away from cancer,” Trunfio tells PEOPLE.