The new rule came into effect on Monday amid growing concern over the spread of the Delta variant of coronavirus.
Previously UK visitors were exempt from the self-isolation requirement if they had evidence of a recent negative test.
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The UK Government removed Portugal from its green list earlier this month, which means people returning from the country must quarantine at home for 10 days.
Malta has announced that, from Wednesday, only fully-vaccinated travellers will be allowed to enter the country from the UK.
Those aged between five and 11 must also show evidence of a negative PCR test taken within the previous 72 hours.
Wednesday is also the day that people returning to the UK from Malta will no longer need to self-isolate.
Meanwhile, the Spanish authorities are introducing new restrictions on UK visitors to the Balearic Islands, which include Ibiza and Mallorca.
Prime Minister Pedro Sanchez told radio network Cadena SER that travellers who are not fully vaccinated must have taken a recent negative PCR test.
The change will be enforced within 72 hours, he said on Monday morning.
This means it will be in place when the Balearic Islands are added to the UK’s green list at 4am on Wednesday.
The Times reported that German Chancellor Angela Merkel wants the European Union (EU) to ban all UK travellers from entering the bloc.
The plan will be discussed by the EU’s integrated political crisis response committee, according to the newspaper.
Hong Kong has put the UK on its “very high risk” list, meaning it has banned arrivals from the UK unless the person is a Hong Kong resident, or a spouse or child of a resident.
The South China Daily Post also reported that Hong Kong has announced that from Thursday direct flights from the UK will be banned.
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