Cressida Dick has been highlighted as the 'front runner'
Those vying to be named the new Metropolitan Police Commissioner will speak to Home Secretary Amber Rudd, London Mayor Sadiq Khan and Policing Minister Brandon Lewis.
An announcement on the appointment will be made after the meetings.
Four senior figures are widely seen as being in the running to succeed Sir Bernard Hogan-Howe as head of Scotland Yard: Cressida Dick, Sara Thornton, Mark Rowley and Stephen Kavanagh.
If the job is given to Miss Dick or Miss Thornton, it will mean the Met has its first female commissioner.
The candidates will speak to Amber Rudd, Sadiq Khan and Brandon Lewis
An announcement on the appointment will be made after the meetings with Amber Rudd, Sadiq Khan and Brandon Lewis
Now a director-general at the UK Foreign and Commonwealth Office, Miss Dick, 56, was previously the country's most senior policewoman before she left the Met after 31 years in December 2014.
The national lead for police counter-terrorism for three years, including during the Olympics, Miss Dick oversaw many of Scotland Yard's most sensitive investigations, including into phone hacking and parliamentary expenses.
She came under intense scrutiny when she was gold commander with overall command and ultimate responsibility and accountability for the response to the incident that led to the fatal shooting of the wholly innocent Brazilian Jean Charles de Menezes, who was wrongly identified as a potential suicide bomber.
Mr Rowley has come to prominence in his role as national lead for counter-terrorism
A jury cleared Miss Dick of any blame in his death.
Chairman of the National Police Chiefs' Council, Miss Thornton, 54, is another potential contender.
Before taking on the role in April 2015, she was chief constable of Thames Valley Police for nearly eight years.
It was while at Thames Valley that the force was tardy in investigating a gang of men who sexually abused several young girls in Oxford.
In March 2015, Oxfordshire Safeguarding Children Board’s Maggie Blyth, who had compiled a report on the incident, said: “It is shocking that these children were subjected to such appalling sexual exploitation for so long.”
Mr Kavanagh worked in homicide, counter-terrorism and anti-corruption for Scotland Yard
She referred to “a culture across all organisations that failed to see that these children were being groomed in an organised way by groups of men”.
In response Miss Thornton said: “We are ashamed of the shortcomings identified in this report and we are determined to do all we can to ensure that nothing like this ever happens again.”
When asked if she had thought of resigning her office, she replied: “The focus has got to be moving forward. I think the focus for me is on driving improvements in the future.”
Miss Thornton served with the Met for 15 years from 1986.
Mr Kavanagh, now the chief constable of Essex Police, had a long and varied career at Scotland Yard including working in homicide, counter-terrorism and anti-corruption.
Mr Rowley, an assistant commissioner at the Met, has come to prominence in his role as national lead for counter-terrorism. He was previously chief constable of Surrey Police.
The appointment is for a fixed term of five years, with the possibility of an initial extension of up to three years which can then be followed by unlimited one-year extensions.
The successful candidate will be paid a salary of £270,648, plus benefits.
Police terrorist training exercise Tue, May 10, 2016
Emergency forces and shoppers take place in a simulated terror attack at the Trafford Centre, Manchester
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Shoppers take place in a simulated terror attack at the Trafford Centre, Manchester
The appointment will be made by the Queen following a recommendation from Miss Rudd.
Before settling on her choice, she must “have regard” to any recommendation from the Mayor's Office for Policing and Crime, which is headed by Mr Khan.
Sir Bernard has delivered a number of stark warnings in the final weeks of his tenure.
In January he said the “warning lights are flashing” after figures laid bare the scale of fraud and cyber crime and showed a jump in violent offences recorded by forces.
He also warned his successor will have to run the Met with fewer officers as the force braces for further budget squeezes.