Representatives for Zendaya and her longtime partner, Tom Holland, did not return requests for comment from The Associated Press on Monday, a day after the 28-year-old Emmy Award-winner attended the telecast at the Beverly Hilton.
People magazine said the pair was engaged, citing "a family source".
Another source told the magazine that Holland shared the news with friends around New Year's Eve.
TMZ was the first to report the engagement, citing "sources close to the couple".
Zendaya, the breakout star from Euphoria and Challengers who showed up on the red carpet in a Louis Vuitton gown, has long been linked to Holland since they played love interests in 2017's Spider-Man: Homecoming.
Holland wasn't at Sunday's Globes.
A reporter for the Los Angeles Times seemed to confirm something was up when she held up her engagement ring and pointed to it, and Zendaya responded by showing her own left-hand bling.
The reporter then asked if the actor was engaged and "she kept showing her ring, smiled coyly and shrugged her shoulders mysteriously".
Another clue was that Bulgari, for which the Dune star is an ambassador, provided Zendaya's carpet jewellery - a necklace, right-hand ring and earrings - but a press release didn't mention the ring on her left ring finger.
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