According to British The Sun the body is said to have been found next to a parasol near a cave system.
Michael Mosley disappeared without a trace while on holiday on the island after he went for a walk from Saint Nikolas beach on Wednesday.
Followed via surveillance footage
With the help of surveillance footage, the police were able to follow his path. A picture of Mosley holding a parasol at the start of a new hiking trail leading up into the mountains was the last known picture of him.
A large search effort has since been focused on a remote mountain area near the port village of Pedi.
“Died of heatstroke and exhaustion”
Mayor Eleftherios Papakaloudoukas told ITV that Mosley likely died of heatstroke and exhaustion.
A large search operation has been underway. On Saturday, among other things, divers, helicopters and dogs took part in the operation.
67-year-old Mosley was the host of several television shows and was the founder of the so-called 5:2 diet.