Merkel, accompanied by a large delegation of Cabinet Ministers and top officials, arrived here last night and was accorded a ceremonial welcome at the Rashtrapati Bhavan this morning.
Ways to deepen bilateral engagement in diverse sectors like defence, security, education and renewable energy figured in the summit-level Inter-Governmental Consultations (IGC) between Modi and Merkel which also deliberated on issues relating to trade and investment.
India and Germany are strategic partners since 2001.
The German Chancellor's visit here comes around six months after Modi's tour to Germany in April
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Germany is India's largest trading partner in European Union and the seventh largest foreign investor in India.
The overall exchange of goods and services between the two countries was valued at around around 15.96 billion euros last year, a drop of 1.14 billion euros from the level of 16.10 billion euros registered in 2013.
More than 1,600 Indo-German collaborations and around 600 Indo-German joint ventures are currently in operation.
Ahead of Merkel's visit, German Ambassador Martin Ney said the third Inter-Governmental Consultations are expected to come out with "path-breaking results" and inking of "substantial" number of agreements between the two countries.
External Affairs Minister Sushma Swaraj called on Merkel ahead of her talks with Modi.