Liz Truss and Rishi Sunak have vowed to toughen controls on migration into the UK as part of their bids to become next Tory leader and prime minister.
Mr Sunak said he would tighten the definition of who qualifies for asylum and introduce a cap on refugee numbers.
Ms Truss said she would extend the UK’s Rwanda asylum plan and increase the number of Border Force staff.
More than 14,000 migrants have crossed the Channel to the UK on small boats so far this year.
In an attempt to deter the crossings, in April the government announced it would send some asylum seekers deemed to have entered the UK illegally to Rwanda to claim refuge there.
However, no asylum seekers have been sent to the east-African country yet following a series of legal challenges.
The UK stands to lose the £120m it has paid to Rwanda if the plan is ruled unlawful by the courts at an upcoming hearing.
Both leadership hopefuls said they would explore similar deals with other countries.
Foreign Secretary Liz Truss told the Mail on Sunday the Rwanda policy was the right approach and that she was determined to “see it through to full implementation”.
Ms Truss also said that if she became Tory Party leader and prime minister, she would increase Border Force staffing from 9,000 to 10,800.
She has also promised a strengthened UK bill of rights, adding: “I’m determined to end the appalling people trafficking we’re seeing.”
Former chancellor Mr Sunak has also pledged to do “whatever it takes” to make the Rwanda scheme work and described the UK’s migration policy as “broken” and “chaotic”.
His plans would see the UK re-assessing aid, trade terms and visa options on the basis of a country’s willingness to co-operate with the return of failed asylum seekers and offenders.
He has also promised to give Parliament control over how many cometo the UK by creating an annual cap on the number of refugees accepted each year, though this could be changed in the case of emergencies.
And he said he would introduced “enhanced powers” to detain, tag and monitor those entering the UK illegally.
He said: “Right now the system is chaotic, with law-abiding citizens seeing boats full of illegal immigrants coming from the safe country of France with our sailors and coastguards seemingly powerless to stop them.”
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