France's Foreign Minister Laurent Fabius told AFP during a visit to New Delhi that the Indian premier had been invited to a summit with President Francois Hollande "in the spring".
"We will be extremely happy to welcome Mr Modi and that is one of the messages that I have come to pass on from the president," said Fabius ahead of talks with Modi.
"We shall be very honoured to welcome him."
Although there have been reports that Modi is planning to travel to Britain and Germany, this is the first firm invitation to Europe since he was elected last May.
Modi was effectively blacklisted by the European Union for a decade in the aftermath of deadly communal riots in the state of Gujarat in 2002, soon after he came to power as chief minister.
The EU and then the United States ended their boycott of the right-wing Hindu nationalist when it became clear he could be elected leader of the world's largest democracy.
France and India have a strategic partnership and Fabius said the two leaders would have much to discuss in Paris, including nuclear energy and aviation technology on which the countries are already working closely.
"This will be an extremely important visit for us and India," he said.
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@Lahori badshah: A country which sheltered obl, wow man you are from a special place.
@Raj - USA: If Modi doesn't reconfirm Rafale Aircraft deal then France may have some doubts.
@Lahori badshah:
Military courts established in Pakistan, people's right to free judiciary trampled, constitution torn to shreds, and you call India is being ruled by Hitler.
The irony!
Who has doubts no that India will not be the 6th Permanent member of UN Security Councin within the next 5 years?
Hitler of India invited to Paris to Celebrate his genocide ?
India and France have very close relations almost like brothers
That's a great gesture - France sends it's Foreign Minister to give the invitation personally to India PM...!! this is a big compliment for Indian democracy...!!
Awesome News. Global Leaders and States inviting India's premiere for bilatrel talks and economic growth. way to go Modi. cheers