The socialite was found dead at her home in Kent, England in April (14), plunging the Geldof family into mourning, and Ure was by his friend's side at the funeral.
The Ultravox star, who is a father to four daughters and who co-organised Live Aid with Geldof, has now revealed he tried to comfort his friend by writing him a letter in the aftermath of the tragedy.
He calls it the most "hideously difficult" thing to write, adding to Britain's Daily Mail newspaper, "It was a father-to-father letter - friend-to-friend. I knew Peaches when she was a baby. I knew all his girls. Bob seems to have been dealt this ridiculously unfair hand.
"As a father of four daughters, I can only start to try to comprehend what it must feel like to be in his shoes - and that's only scraping the surface. It's just too hideous to contemplate, but Bob's an incredibly strong character. I'm sure he'll see this through. He has a fairly large family to try to protect and try to guide through this."
Ure goes on to voice his concerns for Peaches' half-sister Tiger Lily, 17, who was adopted by Geldof following the death of both her parents, rocker Michael Hutchence and Tv star Paula Yates.
He adds, "When you get down to it, the big worry would be for Tiger who's lost both her parents and now one of her sisters. It's just hideous."