Mystery has swirled around Wood's death.
The Los Angeles County Sheriff's Department told ABC News last week in a statement, "Wagner has always been a person of interest". Wagner wanted to move the boat at night, but Wood didn't want him to.
This file photo shows the "Prince Valiant", the inflatable dinghy used by Natalie Wood, moored at the harbor in Avalon, California, after it washed up on the rocks on Santa Catalina Island.
Robert Wagner in December 2013 in Beverly Hills.
Wood died in 1981 at age 43 from a mysterious drowning.
Detectives also interviewed other actors who knew Wagner and Wood to learn more about their relationship.
Natalie Wood poses in a Yves Saint Laurent costume on September 19, 1964 in Paris.
Robert Wagner and Natalie Wood are seen at the time of their second marriage.
Natalie Wood's Walk of Fame Star in Hollywood, on February 2, 2018.
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She had been drinking heavily aboard a yacht with her husband and with actor Christopher Walken, who was filming the thriller Brainstorm with Wood.
Actor Paul Newman and actress Natalie Wood pose with their statuettes at the 23rd Golden Globe Awards dinner in Hollywood, Calif., February 1, 1966. "As the investigation progressed, we've re-created the timeline, and [Wagner] was the last person on the boat with her", Corina said, noting that Wagner remains a "person of interest". This is an acknowledgement of the fact that how Wood ended up in the water is now considered to be unclear.
New witnesses, who were on a different boat, have come forth since the initial investigation who corroborate other witnesses' accounts of hearing people on the boat arguing, Corina said.
Corina said the original detectives on the case spoke with Wagner about the circumstances surrounding Wood's death only once, in 1981, but Wagner, who will turn 88 on February 10, has declined any further discussions.
Davern has said that he went to check on the noise being made by the arguing couple and "was told to go away by Robert Wagner", Corina recalled. "I mean, we know now that he was the last person to be with Natalie before she disappeared". She was found floating in the water, wearing a red down jacket and a flannel nightgown. As a result, Wood managed to receive a number of Oscar nominations even before she had managed to turn 25, which was a remarkable accomplishment to say the least. After the actress was found deceased, a two-week investigation was launched and ultimately deemed the incident to be accidental.
In his 2009 book, "Goodbye Natalie, Goodbye Splendour", the boat's captain, Dennis Davern, wrote that Wagner and Wood had an argument while having dinner on the boat in which Wagner broke a wine bottle on the table.
Corina says he doesn't believe Wagner has told the whole story.
Wood, who was best known for her roles in "Miracle on 34th Street", "West Side Story", and "Rebel Without a Cause", was 43 when she died on November 29, 1981. I know people lose their tempers. "And his version of events just don't add up". Wood's autopsy revealed fresh bruises that, as Det. Corina said the Los Angeles County Sheriff's Office participated in the series to raise awareness.
In an April 2016 interview with People magazine he said: "We were all so shattered by the loss". "You bet. His story... doesn't really add up". "We have not been able to prove that this was a homicide".