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European Commission President Jean-Claude Juncker has conceded that migration from EU states is "one of the main reasons of Euroscepticism in the UK".
Mr Juncker is one of many global leaders in Japan, including Prime Minister David Cameron, for a two-day G7 summit.
ITV News' Deputy Political Editor Chris Ship is there.
Immigration minister James Brokenshire has said "net migration from outside of the EU and within the EU remains too high".
It comes as latest official figures reveal it reached 333,000 for the year ending December 2015 - the second highest level on record. Net migration from the EU was estimated to be 184,000.
"These figures underline that there are no quick fixes or simple solutions," Mr Brokenshire said.
"However, we remain committed to reforms across the whole of Government to bring migration down to sustainable levels, which is in the best interest of our country."
He also insisted "leaving the EU is absolutely no panacea or silver bullet whatever some may suggest".
Former London mayor Boris Johnson, a prominent member of the Vote Leave campaign, has said latest migration figures reflect the "scandal" of politicians' promises over immigration.
He told ITV News: "I think they show the scandal of politicians continually promising year after year that they can cut immigration to the tens of thousands when they have absolutely no control providing we remain within the European Union."
"It's only if we vote to leave on June 23 that we can take back control of our immigration from the EU 28 countries and have a sensible policy that is based on the real needs of the UK economy," he added.
Nigel Farage has said he doesn't believe the official migration figures and is sure the "real numbers are much higher".
The UKIP leader was responding to ONS figures showing the net long-term migration to the UK in 2015 was 333,000, the second highest level on record.
Net migration of EU citizens is estimated to be 184,000, for the year ending December 2015, according to the Office for National Statistics.
This is compared with 174,000 in the previous year. Non-EU net migration was 188,000, compared with 194,000 the previous year.
Immigration has been a key issue during the EU referendum campaign and the figures are expected to spark a fierce debate between Remain and Leave camps.
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Net migration to the UK hit 333,000 in 2015, the second highest level on record, according to the Office for National Statistics.