Officials from both will appear before the public accounts committee at Stormont next week.
Ms Long said the issue of flags at Stormont had been "dormant" since 1998.
Classroom assistants protested at Stormont on Tuesday over the delay in settling the pay deal.
BBC: NEWS | UK | Northern Ireland | Class assistants protest pay wait
The call was made during the last day of proceedings of the transitional assembly at Stormont.
The parties discussed the possibility of electoral pacts and forming a unionist bloc at Stormont.
Meanwhile Arlene Foster, the enterprise, trade and investment minister at Stormont, is acting as first minister.
This is in line with many other councils across Northern Ireland and at Stormont buildings.
More lately when a power-sharing government was formed at Stormont, he was Sinn Fein's head of administration.
Today's DUP likes to believe it is in power at Stormont purely because of its electoral strength.
ECONOMIST: Stalemate in Northern Ireland: A tongue-twister of a dispute | The
The health minister has apologised "unreservedly" at Stormont for stress felt by residents of care homes earmarked for closure.
The ongoing crisis was discussed at a meeting of Permanent Secretaries at Stormont Castle on Wednesday, 4 May, 1977.
BBC: The loyalist strike did not meet with the "success" of 1974
Available information on contaminated meat points to fraudulent activity and to Europe, a special meeting at Stormont has heard.
This is not to say that the talks at Stormont do not matter.
The Northern Ireland Assembly has been suspended since October 2002, amid allegations of an IRA spy ring at Stormont.
BBC: NEWS | UK | Northern Ireland | Leaders returned in assembly poll
Speaking on Wednesday the Secretary of State Owen Paterson said he looked forward to seeing that legislation at Stormont.
When the murder was discussed at Stormont with senior Sinn Fein figures, there was no suggestion of raised voices.
At Stormont a cross-departmental group of civil servants works on implementing the treaty.
Tipped by the Belfast Telegraph to be the next deputy leader at Stormont she was not part of this reshuffle.
Then I clocked back in to work at Stormont and realised the Ulster Unionists were providing me with stiff competition.
It is believed discussions have already taken place between ministers at Stormont and officials of the Department of Health in London.
BBC: NEWS | UK | Northern Ireland | Doctors call for NI smoking ban
It is understood that a Private Members Bill seeking to establish an opposition at Stormont will be presented to MLAs shortly.
Progress on the decommissioning issue will be crucial to the survival of the power-sharing executive set up at Stormont last week.
Sir Hugh held a joint press conference with the first and deputy first ministers Peter Robinson and Martin McGuinness at Stormont.
The DUP wanted members to congratulate the police on the level of security they have provided at Stormont in recent weeks.
Police Service of Northern Ireland Chief Constable Matt Baggott is at Stormont for talks with the first and deputy first ministers.
BBC: North Belfast riots: Robinson and McGuinness meet Baggott
Police Service of Northern Ireland Chief Constable Matt Baggott has held talks at Stormont with the first and deputy first ministers.
BBC: North Belfast riots: Robinson and McGuinness meet Baggott
But those remain the sticking points for Peter Robinson, the leader of the DUP and first minister in the government at Stormont.
Members of the Assembly Commission then took questions regarding issues such as carbon emissions from Parliament Buildings and car parking at Stormont.
Finance Minister, Sammy Wilson, has criticised his ministerial colleagues at Stormont over the amount of unspent public money they have returned to him.
BBC: Stormont ministers criticised over ?42m in unspent funds
This week Sinn Fein was allowed to occupy offices at Stormont, and Mr Adams may soon meet Mo Mowlam, the Northern Ireland secretary.
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