Mr Mosley's went missing on the Greek Island of Symi last week after leaving friends along Agios Nikolaos at around 1.30pm to go for a walk, before his body was found in a rocky area near Agia Marina beach last Sunday.
According to Greek police spokesperson Konstantia Dimoglidou, an initial post-mortem exam was carried out, confirming that no injuries were found on Mr Mosley's body, saying that his death was of natural causes.
It was reported that the time of death was approximately around 4pm local time on Wednesday. Toxicology and histology reports will also take place.
It was also reported that footage from a beach bar at Agia Marina appears to show Mosley heading down a rocky slope near a fence, before falling out of view.
The sad death of Dr Mosley has been "felt by millions of people all around the world who regarded him as their doctor", according to several BBC colleagues.
Leading the tributes to Mosley, Dr Sarah Jarvis who worked with him on The One Show, said that he transformed so many people's lives.
"Michael was absolutely charming", Dr Jarvis said in a tribute on The One Show. "He was funny, he was clever, but what really came across was that he had this ability to communicate and he wanted to get important messages out".
"That man touched so many lives. He took really complicated science, then he turned it into something that resonated with everybody", she added. "And he said that by using himself as a guinea pig, he could make more difference than many doctors make in a lifetime…".
Alex Jones who co-presents The One Show also paid tribute to Mosley.
"His death has been felt by millions of people all around the world who regarded him as their doctor", he said on the BBC programme. "It’s still very hard to grasp what’s happened, I think everybody feels that… It’s an absolute shock".
Dr Chris van Tulleken who co-starred with Mosley on Trust Me, I'm A Doctor said that his former colleague: "is one of the most important broadcasters of the last few decades, perhaps ever".
Elsewhere, Dr Hannah Fry also recalled a time when Mosley even saved the life of a BBC colleague.
"Somebody collapsed in the BBC offices in the corridors, and he saw them collapse. He went over, he performed CPR on them for almost half an hour until the emergency services arrived", she said. "(He) saved her life, she’s gone on to have two children".
Michael Mosley initially trained as a doctor, before moving into broadcasting. He presented a number of science programmes and films at the BBC, including Trust Me, I'm A Doctor, looking at Britain's healthcare.
His work as an executive producer on BBC science doc The Human Face, also earned him an Emmy nomination in 2002. He joined The One Show as a member of the original cast in 2007.
