Fankhauser will meet with PM Mostafa Madbouly in Cairo after John and Susan Cooper fell ill last week and later died while staying at the Steigenberger Aqua Magic hotel in Hurghada.

The Egyptian authorities have said the couple died of natural causes, while Cook has said there was no evidence to suggest carbon monoxide poisoning was a factor.

The Coopers were holidaying with their daughter Kelly Ormerod, who was present when her parents fell ill and had maintained there was an unusual smell in the room the morning they fell fatally ill.

MORE: Why Cook’s response to the Hurghada tragedy (so far) should be praised

Cook has commissioned its own tests at the hotel covering food hygiene, water and air conditioning, although the results of these are not due until next week.

A Cook spokesperson said: “Thomas Cook chief executive Peter Fankhauser has flown to Egypt to meet with the Egyptian prime minister, His Excellency Dr Mostafa Madbouly.

"They will discuss the recent tragic deaths of Mr and Mrs Cooper in Hurghada and the ongoing investigation by the Egyptian authorities."