Kendall Rae-Knight was the first of this year's girls to leave the Love Island villa in last Friday's eviction.
Kem meanwhile was the winner of last summer's show, coupled up at the time with Amber Davies.
Newly single Kem and Kendall are said to have hit it off after meeting on ITV2 spin-off After Sun.
Both appeared on the show, hosted by Caroline Flack, on Sunday night.
They were then pictured seemingly kissing after meeting up after filming.
A source told The Sun newspaper: "They went on a date and they did kiss, but they didn't spend the night together.
"They both left at the end of the night, but they are keen to see each other again."
Kem shared Love Island's £50,000 prize money with ex Amber Davies last summer.
After 132 days together, Amber and Kem called it a day at the end of 2017.
“With sadness, we’ve decided to separate," they said in a statement in December. “We fell in love in the villa and want to thank all the fans of the show for supporting us.
"Our schedules made it difficult. We’ll remain good friends.”
Speaking ahead of the new series, Amber has revealed what went wrong.
She told ITV's Lorraine: "For sure it was the pressure of fame [behind our split], you have to make that decision - either commit to the relationship and work on it, or you get sworn into this life and you concentrate on your career.
"Doing both of them is really hard."
Despite parting ways, Amber was full of praise for Kem.
She said: "I struggled a bit when we broke up and Kem knows that, he was so brilliant with me - I'd message him and he'd talk me through it.
"But Kem and I were in two different stages in our lives; he still lived with his parents, I was his first girlfriend while I'd been in numerous relationships, I moved to London at 16 and was very independent. It wasn't our fault we didn't work, for me it he was the right person at the completely wrong time."