David Livingston/Getty; Inset: Courtesy Crystal Harris
12/19/2011 at 01:00 PM EST
Shortly after Hugh Hefner and Crystal Harris ended their engagement
in June, the Playboy
mogul said Harris let him keep
Charlie, their shared Cavalier King Charles spaniel.
But now, Hefner, 85, says he and his former fiancée, 25, are still going back and forth about who gets permanent ownership of the pooch.
"We both love the puppy," Hefner told PEOPLE on Thursday at the Playboy Mansion in L.A. "I told her if she wants to keep the ring and the Bentley, then maybe I can keep the puppy. I [hope] we will work it out."
Hefner, who still insists
he "missed a bullet" by not tying the knot with Harris – who was linked to
Dr. Phil's son right after the split – points out, "The puppy's valuable, but not $100,000 worth."
Although he is still in talks with Harris about their canine companion, Hefner has moved on
in his personal life with Anna Sophia Berglund and Shera Bechard, the women he calls his "two very special ladies."