Halverson began the 2007-2008 season at the Junior Grand Prix Harghita Cup. After placing 6th in the short program, she attempted her first triple axel jump in competition in the free skate. Although she fell on the landing, she rotated it successfully and was given credit for the jump officially. She placed 5th in the long program, placing 5th overall. At her second event, the Pokal der Blauen Schwerter in Germany, she placed 7th overall, after placing 4th in the long program and being credited with his first triple axel of her career.