Immigrations officers have stopped thousands if immigrants from sneaking into the UK
Almost 1,000 stowaways from the eastern European country were caught at British ports between 2008 and 2016, more than double the number of Afghans, who were second on the list.
The statistics were released by the Home Office, following a Freedom of Information request by the Guardian.
The figures, which cover the period between 2008 and spring last year, show 981 "clandestine migrants" from Albania were caught in that time.
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They included a group of more than 50 people found hiding in a lorry at the Humber sea terminal near Grimsby in June 2015, including a pregnant woman.
The country with the second largest number of stowaways was Afghanistan, with 452 people stopped at UK ports.
Third was Algerians on 424, followed by Iranians (348), Indians (322), Palestinians (129) and Vietnamese (124).
An American and a Russian were also found trying to enter illegally during that time, as well as one person from the Czech Republic, even though their home nation is an EU member.
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The deepening refugee crisis across Europe saw a huge spike in early 2016.
Between January and March last year – the last figures available – immigration officers caught 318 clandestine migrants at UK ports.
That is more than half the number of migrants caught in the whole of 2015 (556), while in 2014 the total number was 681.
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