She announced that there would be no independent agency and then moved to the DETI.
Information has been made available on the DETI website however the consultation is not an online survey.
The Treasury Committee found that DETI had access to information which should have led it to act.
The report said it was "reasonable to expect the Deti to have taken a lead in identifying the problem".
Earlier this month, representatives for further education also advised the committee that they would prefer to be controlled by DETI.
BBC: NI universities could be under two government departments
She said that if someone had raised concerns about the PMS at any time, then DETI would have acted on that.
Earlier this month, representatives of the further education sector also advised the committee that they would prefer it to be controlled by DETI.
However, the biggest slice of funding, more than half, is coming from the Tourist Board and the Department of Trade and Investment (DETI).
However, Mrs Foster has said DETI had no way of knowing what activities the PMS was carrying out until an investigation by the Financial Services Authority.
In a statement, DETI said the project was on course to be opened as planned on 31 March 2012 in time for the 100-year anniversary of the Titanic's maiden voyage.
It said it was concerned with the report's conclusion that the Department of Enterprise, Trade and Investment (DETI) should have taken a lead in identifying the problem and have sought a solution.
The UUP's Leslie Cree said questions had to be asked over whether no-one in DETI felt legislation introduced in 1969 was adequate to deal with a financial institution which was dealing with millions of pounds.
Administrators from Queen's University and the University of Ulster declared their desire for higher education to be reallocated to the Department of Enterprise, Trade and Investment (DETI) at a meeting of the employment and learning committee.
In reply to the DUP's Ian McCrea, the minister said responsibility for funding had transferred to the enterprise department (DETI), and that the race organisers had not applied to DETI or the tourist board for funding.
Senior staff from Queen's University and the University of Ulster declared their desire for higher education to be reallocated to the Department of Enterprise, Trade and Investment (DETI) at a meeting of the employment and learning committee.
BBC: NI universities could be under two government departments
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