Kim Kardashian 'vows to stop flaunting her wealth on social media'

But police have noted inconsistencies in his story, and remain baffled at the apparent ease with which he was able to guide the robbers straight to the star’s bedroom.

He has told them that they arrived at around 2.30am, and got through a first set of locked doors by buzzing the intercom, and saying: It’s urgent – we must see Miss Kardashian’.

Once inside they falsely claimed to be police, and then pointed a gun at the man’s head, forcing him to open Kim’s first floor apartment with a single key.

In fact, low-ranking night staff staff do not have such easy access to £25,000-a-week flats used by VIP celebrities including Madonna and Leonardo Dicaprio.

There are all kinds of security protocols limiting access to the nine apartments in the building, which all have armoured doors that are locked from the inside.

‘It is inconceivable that this concierge could have just walked into the flat with the robbers without breaking the door down, and there is no sign of forced entry,’ said an investigating source.

On show: Kim was wearing the ring, gifted to her by husband Kanye West, in this Snapchat shortly before she was robbed at gunpoint 

Vulnerable: Kim’s bodyguard Pascal Duvier (left) was not by her side when she was robbed at gunpoint

As the mystery deepened, police said that the gang is likely to have arrived and left by bicycle.

There were no CCTV cameras in or directly outside the block, but recorded images from other parts of Paris ‘point to the possibility of the gang members being on push bikes,’ said the source.

Kim’s stylist, Simone Harouche, was apparently in the flat at the time, but she has now been ruled out as the person who raised the alarm.

Instead Kim has claimed she heroically untied and ungagged herself, escaped from a locked bathroom, screamed for help from the flat’s balcony, and called her bodyguard at 2.56am.

Pascal Duvier, the muscular giant who is usually always at her side, was out at a nightclub with other Kardashian family members.

In a further twist, it has now emerged that Mr Duvier was declared bankrupt less than a fortnight ago, so he may have been feeling unsettled during the drama.

Kim herself fled France within a few hours of the raid, boarding a private jet so as to be with her husband, the rapper Kanye West in New York.

The Paris authorities have privately expressed frustration that she disappeared so quickly, as she and the concierge are the key witnesses to what amounts to an extremely serious crime.

In turn, Kim has indicated that she is briefing French detectives from the USA by telephone.

Kim was robbed at gunpoint in her Parisian apartment in Paris. Pictured is the entrance to the building where the robbers easily gained access 

French police officers stand in front of Kim Kardashian’s luxury apartment Hotel de Pourtales on Rue Tronchet in the 8th arrondissement