In it they savagely made fun of several couples from the most recent summer series.
It is the latest feud to emerge from their series of the show, which was won by Davide Sanclimenti and Ekin-Su Cülcüloğlu.
Charlie, 28, who hosts Playtime with ex Made In Chelsea star Miles Nazaire, was talking about who is still together from the series.
He said: “There are a few couples that are still going strong, like Tasha and Andrew and Ekin-Su and Davide.”
At that point they all started giggling – with Miles saying sarcastically: “Yeah they’re strong man, real strong.”
The three of them then collapsed in fits of laughter.
Charlie asked: “Dami and Indiyah are definitely still together, aren’t they?”
Tasha, 24, who is dating Andrew Le Page, tweeted after the broadcast: “Some people really don’t have anything else to talk about.
“Find it mad how youse keep using our names for views on your channel, it’s getting boring honestly X.”
There are three couples still going strong from the previous version of Love Island: Tasha and Andrew, Ekin-Su and Davide and Indiyah and Dami.
The podcast also laughed about Gemma Owen’s ex Luca Bish – after Jay said he’d met up with him the previous night.
Asked how he was, the 29-year-old said: “Yeah I think he’s good man,” at which the hosts collapsed with laughter.
Miles said: “F*** off. I love that. ‘Yeah he’s… he’s good.'”
Scottish investment analyst Jay appeared on the previous series of Love Island on day nine and lasted 29 days on the show.
Charlie arrived a day earlier but lasted only eight days.
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