In their letter to Mr Cameron, the five select committee chairmen urge "further action to encourage international university students to studyintheUK".
All students from outside the EU wishing to studyintheUK need to have their visa application sponsored by education establishments which are licensed by the government.
It will now be subject to a 12-month probation period in order to build up a track record of compliance with the rules of sponsoring students to studyintheUK. During this time the number of students it can recruit from abroad will also be limited.