Tyler was photographed leaving Gigi's place in navy blue shorts, a T-shirt and white sneakers in the morning, while an eyewitness claims to have seen Gigi leaving her home all "calm, cool and collected" hours later to do some window shopping.
Another eyewitness told the website it was "the second night in a row" that Tyler had stayed at Gigi's place.
The couple's first date was on Sunday, when the pair reportedly had drinks at Dumbo House in Brooklyn and laughed and engaged in conversation all night long. They allegedly got along really well and left the bar together in an SUV although they had exited the building from different doors.
"He really likes Gigi, but it's just a fling for now," a source told E! News of Tyler. "They are both gorgeous and single and they've had fun spending time together. He's living in the moment and not thinking too much past that."
As for Gigi's feelings on the new romance, she's reportedly on the same page as Tyler, who finished as Hannah's runner-up on The Bachelorette's fifteenth season.
"Gigi thinks Tyler is really cute and nice and liked that he was a good listener," an insider shared with the website. "They are both taking things slow but have both made it clear they are interested in each other."
"Ahh, we just follow each other," Tyler responded on the podcast.
Tyler also denied ever direct messaging Gigi on Instagram at the time, saying, "I've just been busy with the show and everything."
Ben Higgins called Tyler out for having a lame excuse, but Tyler opted out of talking about Gigi and their social-media connection any further.
Before setting eyes on Tyler, Gigi reportedly had an on-again, off-again relationship with Zayn Malik from late 2015 through January 2019.
Not only has Gigi modeled in high-profile campaigns and runway shows, such as the Victoria's Secret Fashion Show, but she has also graced the covers of magazines including Vogue.
Gigi has also previous ties to the reality TV world.
In addition to being the daughter of former The Real Housewives of Beverly Hills star Yolanda Hadid and having made appearances on then Bravo reality series while her mom was a cast member, Gigi is also the best friend of Keeping Up with the Kardashians star Kendall Jenner.