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By Chris Mason
Political editor, BBC News
Immigration Minister Robert Jenrick has drawn up a set of proposals to attempt to cut immigration to the UK.
The ideas, which he has shared with No 10, are not yet government policy, but are being discussed internally.
Among the suggestions are a required minimum annual salary of £35,000 in order to receive a work visa.
This has led to calls for more action to bring down migration from Tory MPs.
No 10 has said the figures are "far too high" but the government is acting to bring them down, including by clamping down on dependents of students arriving in the UK.
But given the size of the net migration numbers, it is understood Mr Jenrick believes the government has to consider radical policy changes if the figures are, eventually, to fall.
He has suggested stopping those working in health and social care from bringing dependents with them to the UK.
Another idea is to put a cap on visas for people working in social care.
But this would likely meet resistance from the Department of Health. There has been an increase in workers arriving with visas to fill chronic staff shortages in the NHS and social care, the Office for National Statistics says.
Mr Jenrick has also suggested scrapping what is known as the Shortage Occupation List, which highlights jobs that employers are struggling to fill.
The Migration Advisory Committee - an independent body that advises the government on migration issues - recommended the abolition of the list earlier this month.
Mr Sunak is coming under pressure from within his party to reduce migration numbers.
Earlier, former Home Secretary Suella Braverman - who worked alongside Mr Jenrick until she was sacked 10 days ago - criticised the government's record on immigration and said the figures were a "slap in the face to the British public who have voted to control and reduce migration at every opportunity".
Setting out her own ideas for reducing immigration, Mrs Braverman has called for an annual cap on net migration and the raising of the salary threshold outside health and social care to £45,000 a year.
It is understood Mrs Braverman and Mr Jenrick had jointly submitted ideas to No 10 when she was home secretary.
Following her sacking, Mr Jenrick has since gone back to Downing Street, with a similar but pared-down set of ideas he hopes Prime Minister Rishi Sunak might accept.
Downing Street is yet to comment on the proposals.
Other Tory MPs have also called for more action to bring down migration.
The New Conservatives group, on the Tory right, has described the issue as "do or die" for the party.
Labour leader Sir Keir Starmer said "shockingly high" net migration represented "a failure not just of immigration, but also of asylum and of the economy".
Provisional figures to June of this year suggest the rate of net migration - the difference between the number of people coming to live in the UK and those leaving - may now be slowing.
The vast majority arriving were from countries outside the European Union, with students accounting for the last group of non-EU migrants - also true of last year.