Carey and Packer, 47, were joined by Warner Bros. CEO Kevin Tsujihara and film director Brett Ratner in a pic Carey hashtagged "#ratpac."
On Wednesday, the "Fantasy" singer posted another pic of her posing next to Packer, along with Oscar-winning producer Brian Grazer and Fox Television Studios co-CEO Dana Walden.
Over the weekend, Carey and her kids,
Monroe and Moroccan, were joined by Packer in Capri, Italy during their family vacation. The two looked quite cozy with one another as they strolled the streets arm and arm.
While Carey seems smitten with her rumored new man, not all her fans are so supportive.
"You're too beautiful and elegant to be with James Packer!!!! Please don't!" one commenter responded to a pic she posted.
"Stop trying to make Packer happen!" another fan wrote. "It's not gonna happen!"
Still, some of her Lambs have her back. "Let the others talk. If you are happy with James, enjoy it!" one of Carey's 2.1 million Instagram followers said. "I wish you a time of love and happiness."
What do you think of Carey's new man?