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
They are also 20% less likely to be at a leading Russell Group university compared with a September-born teenager.
The Russell Group suggests there could be other factors influencing the different outcomes.
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 most selective Russell Group universities would also have a new role in supervising the content of A-levels, ensuring they are sufficiently challenging.
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.
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 the issue has refused to go away, with the so-called Russell Group of 19 top research-based institutions - including Imperial and UCL - consistently in favour.
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.
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
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
The petition opposed the Russell Group proposals for student loans.
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
Wendy Piatt, director general of the Russell Group, said there was no complacency about the admissions process - but the problem reflected a lack of advice from some schools.
And the 1994 Group challenged suggestions that it should be the Russell Group universities which were involved - saying influence should not be restricted to an "arbitrarily selected cadre".
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.
Another factor, suggests a spokeswoman for the Russell Group, is that applications from ethnic minority pupils are disproportionately focused on some of the most over-subscribed and competitive courses, such as medicine.
The report said that for more selective universities, such as those in the Russell Group who tend to ask for higher A-level grades, mathematics requirements can be a useful filtering tool.
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.
Mr Gove's idea is that exam boards should still set courses but that schools would be advised to enter students for them only if they were approved by a Russell Group university.
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.
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.
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