Wendy Piatt, the director general of the Russell Group of Universities says universities already look at individual circumstances.
Professor Michael Arthur from the Russell Group of Universities said any future review of higher education could be "devastating".
The Russell Group of universities - which includes Oxford and Cambridge - had 46% of all the language undergraduates.
BBC: NEWS | UK | Education | Big fall in university languages
But Brian Duggan, chairman of the Aldwych group, the students' unions of the Russell Group of universities, said there was not enough detail in the figures.
But Dr Wendy Piatt, director general of the Russell Group of universities, agreed with UCAS that it was too early in the year to judge overall application figures.
BBC: UK university applications down for second year running
Wendy Piatt, head of the Russell Group of leading universities, said that the current levels of funding were not adequate if universities wanted to remain internationally competitive.
The Russell Group of leading universities has welcomed the shift to allowing more choice for students with ABB grades.
"We are rather dismayed and surprised by this outburst, " said Wendy Piatt of the Russell Group of leading universities.
The Russell Group of leading universities welcomed the figures as a substantial improvement.
Top-up fees have been rejected by the government but are still being discussed by the Russell Group of top universities.
The report was commissioned by the so-called Russell Group of top universities.
Wendy Piatt, director general of the Russell Group of leading universities, also backed the calls for more work with younger age groups.
BBC: Universities told to reach out to primary school pupils
The Russell Group of leading universities said that it would be the most disadvantaged pupils who would lose out from a change to the system.
This view was shared by the Russell Group of leading universities.
Mr Cameron was also criticised by the Russell Group of leading universities for saying that the numbers of state-school students had gone down in the last 20 years.
BBC: Oxford University: PM incorrect on black student intake
Roger Kline of the lecturers' union Natfhe said the Russell Group represented a sixth of UK universities - but already received a third of all public money going into higher education and 60% of all research council funding.
BBC: NEWS | UK | Education | Top universities want ?5,000 fees
Dr Wendy Piatt, director general of the Russell Group which represents leading universities, said that the level of fees was not the barrier to applications from young people from disadvantaged backgrounds.
According to the Ucas Clearing website there are vacancies for courses beginning in the next two weeks at at least six out of the Russell Group's 24 universities, including Birmingham, Sheffield and Queen Mary's, University of London.
But Wendy Piatt, the group's director general, said it was "simply not true", as the proportion of state-school students at Russell Group universities had risen by 9% since 1997.
BBC: Oxford University: PM incorrect on black student intake
Representatives of a group of leading universities - known as the Russell Group after the London hotel in which they have met - discussed top-up fees on Friday, at the University of Warwick.
The most selective Russell Group universities would also have a new role in supervising the content of A-levels, ensuring they are sufficiently challenging.
There is more of a market this year in student places and some Russell Group universities have never previously offered places through Clearing - the system which matches students to vacancies.
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