The suggestion comes a day after the death of 87-year-old Baroness Thatcher as a result of a stroke.
However, Ulster Unionist Party leader Mike Nesbitt said Baroness Thatcher was "a colossus of conviction politics".
She offered condolences to Baroness Thatcher's family but said a precedent would not be set.
As we approach Baroness Thatcher's funeral, people will continue to clash about her legacy.
Alongside Gordon Brown in Westminster Abbey were former prime ministers Sir John Major and Baroness Thatcher.
Baroness Thatcher's time in office was marked by some of the Troubles' darkest episodes.
Secondly, many believe that the Tory collapse in Scotland began and ended with Baroness Thatcher.
But Tony Caldeira, chairman of the Liverpool Conservatives, said the country should remember Baroness Thatcher's achievements.
Critics of Baroness Thatcher have marked her funeral by holding a "party" in a former pit community.
BBC: Margaret Thatcher funeral marked by pit community 'party'
Tuesday's papers are given over, almost entirely, to tributes and analysis of Baroness Thatcher and her legacy.
BBC: Newspaper review: Margaret Thatcher's legacy considered
How have commentators in the UK and around the world reacted to the death of Baroness Thatcher?
However, some used it as an opportunity to express critical views about Baroness Thatcher's time in Downing Street.
However, Baroness Thatcher, who has died aged 87 after suffering a stroke, was a divisive figure on Merseyside.
Speaking on BBC Breakfast, he said the world was going to be "a sadder place" without Baroness Thatcher.
BBC: Baroness Thatcher: A 'decisive' leader says Simon Weston
Baroness Thatcher's funeral is to be held at St Paul's Cathedral on Wednesday.
Prime Minister David Cameron is leading tributes in the Commons to Baroness Thatcher, who died on Monday aged 87.
They duly opted to debate the issue of the legacy of Baroness Thatcher.
Baroness Thatcher's son Mark said his family have been "overwhelmed" by messages of condolence from the public after her death.
Both Baroness Thatcher and Mr Blair refashioned the cabinet system, as previous premiers have done, to suit their particular temperaments.
Further details of guests invited to attend the funeral of Baroness Thatcher at St Paul's Cathedral on Wednesday have been released.
Former chancellor of the exchequer Lord Lamont stands up for Baroness Thatcher in the Telegraph for rescuing the UK's economy.
The Rt Rev Tim Ellis, from Baroness Thatcher's birthplace in Lincolnshire, has called the millions likely to be spent a "mistake".
Queen Elizabeth was "sad to hear the news of the death of Baroness Thatcher, " a spokesman for the British monarch said.
If Mr Hague wants to soften Thatcherism he will have to pick a proper fight with Baroness Thatcher and win it.
Baroness Thatcher's funeral should be funded by private business as a "beautiful symbol of her premiership", a Greater Manchester MP has said.
Tory councillor Bob Adams said it was the "express wish of Baroness Thatcher that a statue not be erected" in the town.
BBC: Grantham Labour group calls for Thatcher statue in town
Supporters of Baroness Thatcher are planning to create a museum, library and educational centre as a permanent memorial to the former prime minister.
Family, friends and politicians from all sides have paid their respects to Baroness Thatcher, ahead of the former prime minister's funeral on Wednesday.
Perhaps (history does not yet record) Baroness Thatcher really did persuade Mr Bush to go to war to rescue Kuwait from Saddam Hussein.
Deputy prime minister Nick Clegg has described Baroness Thatcher as a "towering" figure who left an "indelible" mark on her country and the world.
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