Here are the latest developments:
PM Modi stayed overnight at Chequers, a 16th-century mansion that is British Prime Minister David Cameron's country retreat in Buckinghamshire.
This morning PM Modi met Mr Cameron. He later attended a roundtable of CEOs from India and the UK in London, where he said, "We are confidently, consistently and ceaselessly working to integrate our economy with the world."
The Prime Minister is now at the Buckingham Palace to have lunch with the Queen.
Hours later, PM Modi will address some 60,000 members of the Indian community at Wembley Stadium, in an event that will feature Bollywood performances and fireworks. The British PM will also be present.
On Thursday, PM Modi spoke at the Royal Gallery of the British Parliament and held bilateral talks with Mr Cameron.
He also addressed UK's top industry leaders at London's Guildhall, and made a pitch for investment in India. "We have been working aggressively to make India an easy and simple place to do business. In ease of doing business India went up 12 places in one go," PM Modi said.
Following the bilateral talks, India and UK announced deals worth 9 billion pounds. The two countries also signed a civil nuclear pact.
Addressing the media jointly with PM Modi, Mr Cameron said UK supports India's permanent membership in the UN Security Council.
Confronting questions by the British media on "growing incidents of intolerance" back home, PM Modi said his government was committed to protecting every citizen's freedom. "India is the land of Buddha and in our society, we don't accept unconstitutional things. The law will deal with these severely," he said.
At the Royal Gallery of the British Parliament, PM Modi took a strong stand on terror and reaffirmed India's stance on climate change. "We need a social movement against extremism in countries where they originate," he said.
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