But NCA chairman Thoko Matshe said no government had a right to dictate priorities to the people.
Labour put forward an amendment that would see the NCA governed by a separate board with an independent chair.
"Eight players in the current Pakistani national team are from the NCA and I feel proud of them, " he told the BBC.
President Mugabe has tried to discredit the NCA, which has undertaken its own consultation exercise with the people to produce a new draft.
She will wear the nametag (a strangulation hazard for a toddler, if NCA must know), and she will come with me to my presentations.
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These recommendations were sent to the members of the NCA Commission on the Preamble and Fundamental Values and the Commission on Rights and Freedoms.
NCA, Mr Mugabe has agreed that the constitution should be rewritten.
Newspaper advertisements accused NCA members of taking money from Mr Mugabe's western critics and the main opposition Movement for Democratic Change (MDC) to undermine his government.
The National Crime Agency (NCA) will replace the Serious and Organised Crime Agency and UK Border Agency in investigating organised and complex crime and enhancing border security.
The three experts wrote recommendations in accordance with international standards following the sessions with the National Constituent Assembly (NCA) on 2 and 3 July 2012 in Tunis.
Although he did not support adding them to the list of bodies that ministers "must consult", he declared they would "have an important relationship with the NCA".
The bill proposes to establish the National Crime Agency (NCA).
There is a fear that by taking the unusual step of making a National Coverage Assessment (NCA) of Provenge, Medicare is looking to avoid paying for Provenge at all.
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On Saturday, Mr Ghannouchi had called on the National Constituent Assembly (NCA) to "complete the constitution as soon as possible and thus pave the way for free and fair elections".
In a move backed by ASH, the National Childminding Association (NCA) has called for the reversal of government regulations which allow childminders to smoke in front of children if parents give permission.
She said: "What we're doing in a number of areas is setting up the sort of arrangements that start to move us towards the NCA, the NCA structure and then review in due course what the appropriate relationship is with the SFO and the NCA".
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