He added: "One day I have to recount the story of when I met his father. He loved my performance in Tombstone so much, having played Doc himself in a mighty fine film, he was so animated about all the choices I was able to do, same as all the things he wanted to do but wasn't allowed to, the dialect, the coughing, drunk all day everyday... He was amazing. And the first time I met Michael is a good story too. Oliver Stone insisted I meet him, knowing what Michael would say about Oliver torturing him during Wall Street. It was hilarious and Oliver was relishing reliving Michael's pain... It all worked out and all was forgiven on Oscar night I believe...."
Kilmer recently wrote a 424-word Facebook post revealing Douglas was "misinformed" after he claimed the actor had cancer, admitting he hadn't spoken to him for two years.
Part of the post read: "I love Michael Douglas but he is misinformed. The last time I spoke to him was almost two years ago, when I asked him for a referral for a specialist to get a diagnosis for a lump in my throat, which prevented me from continuing a tour of my play Citizen Twain."
It comes after Douglas spoke about shooting The Ghost in the Darkness with Kilmer in 1996, and claimed he was now suffering with cancer.
He said: "The picture didn't turn out as well as I hoped but I had a wonderful time.
"Val was a wonderful guy who is dealing with exactly what I had, and things don't look too good for him.
"My prayers are with him. That's why you haven't heard too much from Val lately."