Weinstein has been charged in NY with assaulting three women, but not Thompson.
Thompson thought that she would be meeting with the marketing team.
Sky News aired only portions of the video.
Thompson told the station she had been offering her tech company's video platform to the 66-year-old, and recorded the meeting as part of the pitch.
"Now I see he's trying, in any way he can, to move me into that zone of comfortable then uncomfortable and confused, and vulnerable, and recognising that he's powerful and I'm not, and that I need this deal from him, and he has the power to give it to me".
The meeting gets off to an very bad start as Weinstein brushes away a handshake and embraces Thompson in a hug, making long strokes down her back and saying "That's nice'".
Weinstein is then seen asking Thompson to meet for a drink at the Tribeca Grand. "We don't have to live with things that are illegal and abusive".
Thompson is shown mildly flirting back and touching his shoulder, but she said she was "trying to save face" and manage the situation.
In the video, she can be heard telling Weinstein: "Data's so hot, right?"
After quickly agreeing to use the technology to promote his movies, Thompson said Weinstein put his hand up her dress.
At the end of the meeting, Thompson and Weinstein made arrangements to meet at a nearby hotel lobby later that night.
Ms Thompson said she was under the impression it was to close the deal but instead she claims he lured her to his room and raped her.
When she arrived to the hotel, Thompson said, Weinstein lead her away from the lobby and into the hotel; she believed he was taking her to a conference room.
Thompson, then 28, responds: "Ummm we'll see, a little bit". "I thought I could handle it, I had never met anyone that I couldn't handle... until Harvey Weinstein". "It's not bad", he says as he rubs her back. "Brafman says, ". the video, when viewed in its entirety, in context and not in select excerpts, demonstrates that there is nothing forceful, but casual - if not awkward - flirting from both parties". I constantly felt trapped, no matter where I turned.
"Anything short of that is meant to make Mr. Weinstein appear inappropriate, and even exploitative", said Benjamin Brafman.
Meantime, prosecutors are challenging Weinstein's attorneys' claims that they hid evidence from the jury that could have helped the disgraced filmmaker deny his sexual assault allegations, including one email in which an alleged victim wrote, "I love you, always do".
Out on $1 million bail after having plead not guilty to the first round of indictment and having surrendered his passport earlier this summer, Weinstein is set to be back in Justice Burke's Manhattan courtroom on September 20.
Thompson's rape allegation is part of a class action lawsuit against the former Hollywood producer, whose career was toppled by a series of rape, sexual assault and harassment allegations a year ago.
Once in the room, he raped her.