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By Dearbail Jordan
Business reporter
Measures are being considered by the government to clear hundreds of sub-postmasters who were wrongly convicted in the Post Office Horizon scandal.
More than 700 branch managers were convicted of false accounting, theft and fraud based on faulty software.
Fewer than 100 people have had their convictions quashed.
The prime minister said the government was now reviewing options - including removing the Post Office from the appeals process.
Rishi Sunak told the BBC's Sunday with Laura Kuenssberg that the scandal was "an appalling miscarriage of justice".
The Post Office - which is wholly-owned by the government - acted as the prosecutor when it brought the cases against its sub-postmasters and retains a role when those individuals appeal.
In some cases it has opposed attempts by sub-postmasters to clear their names.
Asked by Laura Kuenssberg if the Justice Secretary Alex Chalk was looking at whether all those convicted could be exonerated or the Post Office could be stripped of its role, Mr Sunak said: "Obviously, there's legal complexity in all of those things but he is looking at exactly those areas that you've described.
"It is right that we find every which way we can do to try to make this right for the people who were so wrongfully treated at the time."
Last month, a board overseeing compensation called for all Post Office staff wrongly accused of theft and false accounting to have their convictions overturned.
The Crown Prosecution Service could step into the Post Office's role in the appeals process.
The Ministry of Justice said last month that it wanted the criminal appeals system to be as efficient and effective as possible, adding that it had asked the Law Commission to examine whether reforms were needed, and was waiting for that review to be concluded.
Lee Castleton, a former postmaster who said his life has been ruined by the Post Office, said that people are "traumatised" by both the appeals process and the battle to secure compensation.
"We're just normal people", he told the BBC, adding that it should be taken out of the "hands of the people that really caused it".
"I would love it to be taken out of the hands of the people that really caused it in a way," he said."This is not just a computer issue, this is a people issue.
"People took people to court. People made decisions on faulty data that they probably knew was faulty."
A Post Office spokesperson said: "We share fully the aims of the public inquiry to get to the truth of what went wrong in the past and establish accountability. It's for the inquiry to reach its own independent conclusions after consideration of all the evidence on the issues that it is examining."
The Metropolitan Police is now investigating the Post Office over potential fraud offences arising from the prosecutions.
Potential offences could relate to "monies recovered from sub-postmasters as a result of prosecutions or civil actions", it said.
The Met has already been examining potential offences of perjury and perverting the course of justice in relation to investigations and prosecutions carried out by the Post Office.
Two people have been interviewed under caution but nobody has been arrested since the investigation was launched in January 2020.
The Met announced its new investigation after 50 new potential victims of the scandal came forward following an ITV drama on the issue, which aired this week.
Between 1999 and 2015 more than 700 sub-postmasters were prosecuted and convicted based on information from the Horizon accounting system which made it look like money was missing.
Some sub-postmasters wrongfully went to prison, many were financially ruined and forced to declare bankruptcy, while others describe being shunned by their communities following convictions for false accounting and theft. Some have since died.
To date, 93 convictions have been overturned and, of those, only 27 people have agreed "full and final settlements".
Some 54 cases have resulted in convictions being upheld, people being refused permission to appeal, or people withdrawing from the process, according to the Post Office.
A public inquiry into the scandal is ongoing.
There has been widespread sympathy for the victims - and renewed anger - after the four-part mini-series Mr Bates vs the Post Office: The Real Story aired on ITV this week.
It centres on the story of sub-postmaster Alan Bates, played by actor Toby Jones, who led and won a legal battle, paving the way for dozens of convictions to be overturned.