Over the weekend, photos of the Duchess of Sussex's sister were issued handing an envelope to a guard outside Kensington Palace.
Mrs. Markle denied having been rejected and explained that she was extending "an olive branch" to her sister.
Speaking to DailyMailTV, she said: "I was very respectful and went there to deliver a letter.
"Nobody was rejected, nobody was disrespectful and it was a wonderful experience.
"It was a pleasant experience and nobody was bad with me, I was quite surprised".
He explained that although he could not say exactly what he had written, he believed that he had "achieved" his goal and that "we will just have to wait and see how it is received".
The Florida resident added: "I wanted to express some feelings and clarify some records.
"I can not give details of that, but I really wanted the world, and really my sister and the British royal family, to know what happened and to know the truth about many things."
Then he went straight to his sister Meghan and said, "We're going to cut the whole problem, you're a woman, life is short, I think you have it in your heart to do the right thing here.
"You know dad loves you, you know he's been there for you more than anyone, so do not let this public monster and the misperception that it's like a sperm donor father trying to get involved suddenly.
"You know that's not true and, for that to happen, come on, Meg, have a heart, I know you're a woman, I know you have a heart in there.
"God, the Grinch grew a heart, though at the last minute. I'm not comparing you to the Grinch, but I'll say that I know you have it in you to do this well. "
The two sisters have been separated for many years, but Samantha argues that only three years have passed since they last spoke instead of the 10 that were reported earlier.
The older sister is separated from her brother Thomas Jr. and her mother Roslyn, but she remains close to her father Thomas Sr.
She said she was outraged when she found out about the accusations that she had faked her poor health to avoid going to the ceremony.
Samantha said: "I think the heart attack and all that public speculation about a fake heart attack was crazy.
"And he had to endure that only while he was humiliated, he was sick and crazy, I think she needs to put him in the spotlight for being an amazing father and I think she needs to be honest about it."
He also denied that the photos taken just before the wedding were not "a photo scandal" and stated that he had been forced to do so because the media had been describing him "as a fat and nasty bum".
Samantha added that her stepmother Doria Ragland was made to look like the best mother.
She said: "My dad is amazing, if you imagine a combination of Rob Reiner and Tom Hanks, that's my father.
"He does not have a negative bone in his body." He would take Meg to school, raise her, build scenarios for each production, pay for her school, pick her up at each dance recital and leave her. "
According to Meghan's sister, her father is recovering from a heart attack, but she hopes that he and Meghan can solve their problems before he dies.
She said: "I was worried that my father would die without resolution here because it would be horrible for everyone and I really doubt that she could live with that." She has to do the right thing. "