The EU faces demands from a number of member states for the right to introduce Rwanda-style deportation schemes.
The Czech and Italian prime ministers lead a group of 19 people asking Brussels to allow them to transfer immigration procedures outside the bloc’s territory.
UK government sources said the move showed that “the fundamentals of our plan make sense to people around the world”.
The news comes amid signs that Rwanda’s policy is already having a deterrent effect, although the first flights have not yet taken off.
Ireland has complained that migrants are crossing the border to avoid being deported to the African state, while one person who arrived in the Channel claimed last week he had paid £500 to be smuggled back to France.
Disembarkation of immigrants on the Italian island of Lampedusa
The proposals are likely to be considered by the EU commission after the European elections.
Italian Prime Minister Georgia Meloni pictured with Rishi Sunak last year
Denmark is also among EU states sending a letter to the commission saying they support the transfer of migrants captured at sea to countries outside the EU.
The proposals are likely to be considered by the executive branch after the European elections.
At a joint press conference with Italian Prime Minister Georgia Meloni yesterday, Czech Prime Minister Petr Fiala said: “The Czech Republic and Italy are among the countries that want to go beyond where the migration pact takes us and want to find a real solution to illegal immigration, something we still don’t have in Europe.’
A UK government source told MailOnline: ‘Increasingly, as governments around the world face the global challenge of mass migration, they are looking for solutions similar to the one this government has introduced.
“The fundamentals of our plan make sense to people around the world, but not to the Labor Party here, which thinks that dismantling Rwanda and just renaming a unit already created by the prime minister and actively fighting the gangs criminals who traffic people is enough.
The High Court in Belfast ruled yesterday that the immigration legislation underpinning the Rwanda plan cannot apply in Northern Ireland as it is subject to EU human rights rules.
Camille Le Coz, an expert at the European Migration Policy Institute, said there were “many questions” about whether Rwanda-style agreements would work in the EU.
Under the bloc’s laws, migrants can only be sent to an outside country where they could have sought asylum, as long as they have a sufficient link to that country.
EU ministers meeting in Brussels will give formal approval to the new migration policies this week after the European Parliament approved them last month.
The proposals tighten border procedures and force all member states to share responsibility for arrivals.
Migrants who left France to cross the English Channel to the UK last month