A collector's edition Blu-ray will be on sale at the screenings.
Other beloved actors from the original movie, including Tina Fey (Ms. Norbury) and Rajiv Surendra (Kevin Gnapoor), also made appearances at the event.
The 37-year-old co-star of the 2004 original film posed with film writer Tina Fey and 'SNL' boss Lorne Michaels.
With more than $8 million in grosses from China, Swift's film crossed the $261.6 million mark.
For the record, Stone saw the Eras Tour three times and Tay showed up to the "Poor Things" premiere last month.
The singer also said that the "Barbie" song came at a time when she was in a "dark episode" in her life.
The movie remake of the Broadway musical based on the 2004 film of the same name is due out on Jan. 12.
The Timothée Chalamet-led origin story pulled in more than $151 million globally.
The "Barbie" star rocked the stage at the Hotel Café show on Wednesday.
