Reality Check: How many people are affected by May's offer?published at 14:52 British Summer Time 26 June 2017
Theresa May offers to protect EU nationals in the UK if UK nationals are protected in Europe.
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Business Statement unveils forthcoming business
Statement on decision on Fox's Sky takeover bid
MPs and peers debate Queen's Speech
Esther Webber and Patrick Cowling
Theresa May offers to protect EU nationals in the UK if UK nationals are protected in Europe.
Read MoreHouse of Commons
Parliament
Theresa May outlines the deal being published for EU citizens currently in the UK.
She says that no EU citizen currently lawfully in the UK will be asked to leave - "we want you to stay".
EU citizens with five years continual residence will be granted settled status - giving them equal rights as a UK citizen to health, education benefits and pensions.
EU citizens with less than five years continual residence will be allowed to stay until they have five years residence.
The cut-off date for these arrangements is yet to be set out but Mrs May says it will be "no earlier than the day we triggered Article 50 and no later than when we leave the EU".
She also promises that no families will be split up - those with settled status will be able to bring family members from overseas just as UK citizens are able to.
There will also be a grace period to for EU citizens to regularise their status and she says the process will be as "streamlined and light touch" as possible.
House of Commons
Parliament
Theresa May is on her feet making a statement on the recent EU Council meeting and the arrangements being made for EU nationals living in the UK.
She says that a deal for EU nationals will be given on a "reciprocal basis" and will offer "reassurance and certainty" to EU citizens.
Mrs May says that the vote last year was to take back control of our laws, our money, and our borders and reclaim a sense of self determination, but tells MPs that the vote was not a vote to "turn our backs on our friends and neighbours".
House of Commons
Parliament
EU nationals living in the UK will get more detail later of what rights they can expect to have after Brexit.
A 15-page document outlining plans for EU citizens to be granted "settled status" will be published as Theresa May addresses MPs on EU matters.
Ministers have sought to reassure the 3.2m residents they will "effectively" have the same rights as UK citizens.
But EU leaders have warned against people being treated differently depending on when they moved to the UK.
House of Lords
Parliament
Conservative Baroness Wyld, given a peerage in David Cameron's resignation honours list, is being introduced.
She served as head of the prime minister's appointments unit, which included vetting nominations to the House of Lords.
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House of Commons
Parliament
Speaker John Bercow kicks off the day with a brief statement, which deals first with the attack on Westminster bridge, telling MPs that he and the Lord Speaker commissioned an external review on perimeter security and that the report is now available.
He then talks about a "sustained and determined" cyber attack on Parliament over the weekend - saying that the estate has "robust safety measures" in place.
Lastly, he tells MPs about arrangements for the election of deputy speakers, for which nominations are due tomorrow.
House of Lords
Parliament
One of the peers created in David Cameron's resignation honours, Baroness Wyld, will be introduced before questions to ministers on:
Peers will hear statements first made in the Commons on the European Council and the Grenfell Tower fire, and the main debate of the day will be on the Queen's Speech - covering business, economic affairs, energy, transport, environment and agriculture.
House of Commons
Parliament
Welcome back to a busy day in the House of Commons as we have three statements coming from 2.30pm.
First up will be Prime Minister Theresa May giving MPs an update on the most recent European Council summit on Thursday and Friday last week in Brussels; and she is expected to update Parliament on plans regarding the status of EU nationals currently residing in the UK.
After that, the newly appointed First Secretary of State Damian Green will make a statement on the deal which has just been reached between Northern Ireland's Democratic Unionist Party and the Conservative minority government - which is reported to include £1bn extra for Northern Ireland over the next two years.
Third this afternoon, Communities and Local Government Secretary Sajid Javid will update MPs on the Grenfell Fire disaster and on fire safety checks, which have currently found that cladding on 60 high-rise buildings across 25 local authority areas in England has failed fire safety tests.
Once the statements are over MPs will debate the measures in the Queen's Speech relating to Brexit and Foreign Affairs.
Welcome to our coverage of this week's events at Westminster.
We're going to be showing the House of Commons and House of Lords live as the week progresses, and as MPs and peers examine and debate the Queen's Speech.
If you want to know more about what's going on in Parliament, take a look at BBC parliamentary correspondent Mark D'Arcy's blog - and, of course, you can follow us on Twitter @BBCParliament, external.