In another Snapchat post, the couple briefly recreated the music video before breaking into laughter.
Teigen, 30, revealed earlier this week how her love story with Legend, 37, "all began" from Lake Como, where they got married in September 2013.
"First came here in 2007," she captioned the post. "A boat tour guide took us to a little spot on the lake and told us to make a wish. I asked for this to be the man I marry and have children with. I think John asked for the most perfect bite of cacio e pepe. Both came true, and here we are."
Earlier this month, Teigen opened up to WHO about how her date nights with Legend help keep the romance alive after becoming parents to little Luna. "It's nice to be able to be romantic and do cute things like that," she said. "We come home and we're like, 'We missed her!' It's nice to be able to feel that way."