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The two leaders also discussed ways to further the shared objective of promoting security and stability in Afghanistan.
"Furthering 'neighbourhood first' policy with a strategic partner. Prime Minister Modi receives president Ghani at Hyderabad House," External Affairs Ministry Spokesperson Raveesh Kumar tweeted.
"Prime Minister Modi and President Ghani discussed range of bilateral, regional and global issues, express firm resolve to end menace of terrorism," he added.
Earlier, External Affairs Minister Sushma Swaraj called on Ghani, who is here on a one-day working visit.
Ghani also met his Indian counterpart Ram Nath Kovind.
Ahead of his visit, the ministry had said both sides will have the opportunity to review the entire gamut of multifaceted bilateral strategic partnership, including the New Development Partnership. They would hold consultations and coordinate on furthering the shared objective of promoting peace, security, stability and prosperity in Afghanistan and efforts to combat the menace of terrorism.