Appearing on the Channel 5 program, Samantha was asked if she had a message for Meghan.
She replied: "There is so much water under the bridge and so much has spun out of control that was never intended to.
"I think everybody was hurt by not being included or invited to the wedding.
"But I felt as though it could have all been nipped in the bud had everyone been included and we all just agreed to move forward with positive resolve, and the hurt feelings wouldn't have snowballed.
"But, believe it or not, it doesn't mean that we love you any less.
"I just think that families can be this way when there's confusion and when people are hurt.
"So, moving forward, I apologise and I wish things could be different."