Reality Check verdict: During the campaign, some Leave campaigners sent a clear message that the referendum was about controlling immigration. Some are now being more nuanced, saying the UK's decision to leave the EU would not guarantee a significant decrease in immigration levels.
Immigration was the key issue of the EU referendum campaign, and Vote Leave's focus on it was
a key part of their strategy.
One of the main claims of the campaign centred around control of immigration levels.
Responding to the latest Office for National Statistics (ONS) figures, which showed that overall net migration stands at 333,000, MEP Nigel Farage said: "Mass immigration is still hopelessly out of control and set to
get worse if we remain inside the EU."
Though Mr Farage was not part of the official Vote Leave campaign but campaigned in favour of leaving the EU, similar claims were later
echoed by Vote Leave campaigner Gisela Stuart.
She said voting to remain meant there would be "no control" over migration from the EU, "no matter how great the pressure on schools, hospitals and housing becomes or how much wages in our poorest communities are pushed down".
Similarly, leading pro-Leave campaigner and Tory leader front runner Boris Johnson said that the only solution to the scale of immigration which the UK was facing, was to leave the EU.
He
claimed a vote to stay in the union would mean people "kissing goodbye permanently to control of immigration".
The Leave campaign also repeatedly linked EU migration with pressure on public services.
On the 20 May, Vote Leave produced a document which it claimed outlined the pressure that migration from the European Union would put on the NHS - a 28% to 57% increase in demand for accident and emergency services.
As we discovered, an increasing population would put additional demand on A&E but the extent of that increase
had not been demonstrated.
But in an article published in the Daily Telegraph on Monday, Mr Johnson denied a victory for leaving the EU
could be linked to immigration.
He wrote: "It is said that those who voted Leave were mainly driven by anxieties about immigration. I do not believe that is so."
And speaking to the BBC's Newsnight programme on Saturday, MEP Daniel Hannan insisted the public had not been misled over how much control the country would have over immigration post-Brexit.
In a
heated exchange with Evan Davis, he said: "We never said there was going to be some radical decline ... we want a measure of control".
"Frankly, if people watching think that they have voted and there is now going to be zero immigration from the EU, they are going to be disappointed."