The singer, who recently announced that he is writing a children's book series, revealed that the former glamour model had allowed him to spend time with her son Harvey.
"Things are amicable between Kate and me at the moment and I'm really keen to keep it this way for the sake of the children," he wrote in his New column.
"It was really nice as I got to hang out with Harvey while Kate caught up with Junior and Princess. He was showing me all the drawings he's been doing - he's really got into it lately."
Alex Reid recently hit out at stories that suggested Price had banned Andre from spending time with Harvey, whose father is footballer Dwight Yorke.
> Price: 'Andre still milking the situation'