Richard Plepler is closing in on a deal with a former Vice Media executive, Josh Tyrangiel, to join his new production company, Eden Studios, according to two people with knowledge of discussions.

Mr. Plepler, the former chief executive of HBO, signed a five-year deal late last year to make series, documentaries and feature films exclusively for Apple TV Plus, the streaming platform that started in November. Mr. Tyrangiel is likely to focus on documentaries and current-events programming if a deal is reached, the people said.

“I like to think that I’m a pretty good assembler of talent,” Mr. Plepler told The New York Times in a recent interview, after he signed the Apple deal. “And nobody gets any project off the ground without an enormous variety of talented people working with them. I expect to do more of that in my little new venture.”

The relationship between Mr. Tyrangiel and Mr. Plepler goes back several years. Mr. Tyrangiel was the executive in charge of “Vice News Tonight,” the nightly newscast that joined HBO’s programming slate in 2016.