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".
Norman Markus, a German national, was driving the band Baroness at the time of the crash.
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She offered condolences to Baroness Thatcher's family but said a precedent would not be set.
Baroness Ashton's office said both leaders had undertaken to work together to normalise relations.
As we approach Baroness Thatcher's funeral, people will continue to clash about her legacy.
Crossbenchers including Baroness Finlay of Llandaff and Lord Owen lent their support to the amendment.
Alongside Gordon Brown in Westminster Abbey were former prime ministers Sir John Major and Baroness Thatcher.
Liberal Democrat peer Baroness Walmsley countered that training should take place before young people become parents.
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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.
The Conservative's Baroness Eaton told peers how her own child's cancer was missed by doctors.
Crossbencher Baroness Mar said micro-chipping dogs at birth would prevent the "iniquitous practice" of puppy farming.
Opposition health spokeswoman Baroness Thornton fully supported the amendment and urged the government to accept it.
She will take the title Baroness Lane-Fox of Soho in the City of Westminster.
The grant was announced by communities minister Baroness Hanham as she visited the site.
Previous judges on the panel have included Nigella Lawson, Stephen Fry and Baroness Helena Kennedy QC.
Lord Wallace agreed with Baroness Symons that a break-up of the Union would be "very grievous".
And Labour's Baroness Hollis of Heigham warned the move risked a "repeat of the poll tax".
Culture spokeswoman Baroness Garden of Frognal told peers the government was committed to tackling the problem.
Conservative Baroness Fookes, president of the War Widows Association, said it presented "a real worry".
Lib Dem peer Baroness Maddock revealed that she relied on Ordnance Survey maps, despite technological advances.
Baroness Shirley Williams urged the conference to realise what Paddy Ashdown's approach had already achieved.
He will be replacing the outgoing head of the British Council, Baroness Kennedy of the Shaws.
Shadow health minister Baroness Thornton welcomed the change as a move in the right direction.
These discussions were led by Baroness Vadera, a former investment banker who advised Gordon Brown.
Three Liberal Democrat peers rebelled, including Lord Alliance, Lord Carlile of Berriew and Baroness Tonge.
Baroness Ashton had written to Mr Jalili last October with an offer of new talks.
The error was spotted by civil servants when researching a parliamentary question tabled by Baroness Greengross.
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