The visit of the Palestinian President comes ahead of Modi's visit to Israel which is likely to take place in July.
Barghouti has remained politically active behind bars, and is a popular figure among Palestinians who have tipped him among likely candidates to succeed 82-year-old Palestinian Authority President Mahmoud Abbas.
"As is widely documented, the PA pays large sums of money to convicted terrorists who have murdered innocent Israelis, among them our loved ones", read the letter.
While former US Secretary of State John Kerry is visiting the region later this week to resurrect long-stalled peace talks, the Palestinian insistence on the right to return to homes their families fled 65 years ago remains a stumbling block in any deal to end the conflict.
"In light of this, we hereby extend a request to meet with you in order to share with you our views and stories". Both added to the Trump unpredictability index, but the new USA president has given enough indication that he might want to hammer a deal.
With some 1,000 Palestinians held in Israeli jails on hunger strike for a second month, an independent United Nations expert vising the region today called on Israel to comply with global law and standards for detention.
Modi also added that "India has been unwavering in supporting the Palestinian cause".
But Indian officials did not clarify whether Modi agreed to Palestinian requests to use his visit to Israel to mediate talks.
Mr. Abbas went on to thank India for contributing to capacity-building in the field of information technology in Palestinian territories.
Erekat was referring to the day's commemorations by Palestinian communities for the "Nakba", for "catastrophe" of the founding of Israel and the dispersion of hundreds of thousands of Palestinians from their homes.
The Palestinian leader will this evening attend a function at the India Islamic Cultural Centre in New Delhi.
Earlier in the day, Palestine President Abbas was accorded a ceremonial guard of honour at Rashtrapati Bhavan. "India is in the forefront in the reconstruction of Palestine", Abbas said. Not losing an opportunity to push yoga, Modi asked Abbas to get Palestinians to participate in the International Day of Yoga in June.
India-Israel ties have in the meantime soared with the two nations working closely in areas like defence, IT, agriculture, water conservation and recycling.
He reiterated the Palestinian commitment to the two-state solution that would lead to establishing an independent Palestinian state along the 1967 border, with East Jerusalem as its capital, living side by side with Israel in peace and harmony.