"This is one of the best things that has happened to me, " Mr Hashimi said.
"This country's given me so much and I'd love to give it back to them, " Mr Hashimi said.
And Al-Maliki has demanded that Kurdish lawmakers hand over al-Hashimi, who refuses to return to Baghdad from northern Iraq.
The Iraqi Interior Ministry has said al-Hashimi is banned from leaving the country.
Al-Hashimi, who is also Sunni and now lives in Istanbul, denies the charges and maintains the accusations were politically motivated.
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Iraqi Vice President Tariq al-Hashimi also met with Obama on Monday and told reporters afterward that they discussed the security agreement.
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The charges against al-Hashimi appear to be based on the purported confessions of three men, identified as the vice president's security guards.
Mr Hashimi has until next Wednesday to appeal the Home Office decision.
Mr Maliki must fast fulfil some of his promises, says Mr Hashimi.
ECONOMIST: The prime minister, Nuri al-Maliki, is ever more embattled
The trip follows al-Maliki's three-day visit to Iran last week and a recent trip to Jordan by Tariq al-Hashimi, Iraq's Sunni vice president.
In February, Iraq's top judicial committee accused al-Hashimi's security detail of carrying out 150 attacks against security forces and civilians between 2005 and 2011.
Asylum-seeker Najib Hashimi, 18, was permitted to return to the home of his foster family in Faversham on Thursday pending the outcome of an appeal.
Mr Hashimi and fellow Sunni Arabs who have engaged in parliamentary politics say they are being increasingly targeted by al-Qaeda-tied insurgents and other violent Sunni groups.
ECONOMIST: The prime minister, Nuri al-Maliki, is ever more embattled
Sunnis, such as the Islamic party, the Renewal List led by fugitive Vice-President Tariq al-Hashimi, and the National Dialogue Front led by Deputy Prime Minister Salih al-Mutlaq.
Dr. HILTERMAN: Well, Tariq Al-Hashimi, one of the two vice presidents of Iraq, did not show up for the lunch on Tuesday that President Jalal Talabani had organized.
Last month, Iraq's top judicial committee accused Sunni Vice President Tariq al-Hashimi's security detail of carrying out 150 attacks against security forces and civilians between 2005 and 2011.
On his trip to Qatar, al-Hashimi was scheduled to meet with Qatar's prime minister and emir "based on an invitation he had received earlier, " a statement from his office said.
The hearing, which was held at the Taylor House Immigration and Asylum Tribunal in London, was told that Mr Hashimi is a promising cricketer who plans to go to university.
Najib Hashimi, 18, who has been in the UK since 2009 and lived with a foster family in Kent, was due to have been put on a plane on Monday night.
The compromise virtually assures the security agreement's ratification by Iraq's presidency council, which consists of Kurdish President Jalal Talabani, Shiite Vice President Adel Abdul Mehdi and Sunni Vice President Tariq al-Hashimi.
Al-Hashimi denied those allegations, saying they are politically motivated.
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