Modi told Karzai that he will always remain a "special friend" for India which was like a second home to him and invited him to undertake an early visit. Karzai said he looks forward to visiting India soon.
During the telephone call more than a month after Karzai demitted office which he held for nearly 13 years, Modi congratulated him for his leadership in ensuring a historic and peaceful political transition and formation of a National Unity Government in Afghanistan, a PMO statement said.
Modi warmly recalled Karzai's contribution to strengthening of bilateral relations and said both India and Afghanistan had new governments in place which look to Karzai as a mentor for guidance in furtherance of the ties.
Modi noted that under Karzai, Afghanistan had achieved huge progress in its quest to build a strong, peaceful, inclusive, prosperous and democratic Afghanistan, it said.
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Karzai took over the leadership of Afghanistan in December 2001 after the fanatic Taliban regime was removed.
"The way President Karzai had successfully steered Afghanistan on the path of peace, prosperity and stability during a very difficult period, would never be forgotten," the Prime Minister told him.
He was confident that the new government in Afghanistan will continue to attach the highest priority to strengthening of India-Afghanistan relations.
Modi has already spoken to President Asraf Ghani and CEO Abdullah Abdullah.