Cattermole was found dead at his home last week aged 46, just weeks after S Club 7 announced a reunion tour to mark their 25th anniversary, a tour the band insist will go ahead in Cattermole's honour.
Taking to Instagram, O'Meara thanked the fans for their support following the tragic events.
"I just wanted to reach out and thank everybody from the bottom of my heart for the love and kindness you have shown over the tragic passing of our sweetest soul Paul", O'Meara wrote.
"This has been utterly devastating, and I am totally shocked and heartbroken. We have lost someone so incredibly special to us all, and there is a huge sense of sadness that will never go", she added. "Paul will forever be a huge part of our lives, and I will forever treasure the memories we made! I will love you always Paul, God bless you my darling, Rest in forever Peace. Love JoJo".