Greece also extended support to India's bid for permanent membership of the United Nations Security Council.
External Affairs Minister Sushma Swaraj and her Greek counterpart Nikos Kotzias held extensive talks covering the entire expanse of bilateral relations besides delving into major regional and multilateral issues of mutual interest.
In a statement, the external affairs ministry said the discussions between the two ministers focused on building closer cooperation in the areas of trade and investment, agriculture, maritime sector, culture and tourism.
Later, speaking at a think tank, Kotzias said that Greece fully supports India's bid for permanent membership of the United Nations Security Council as a "new balance of power" is emerging in the world.
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Observing that the world was passing through a difficult time, he said forces of fundamentalism and terrorism are trying to destabilise the world.
After their talks, Swaraj and Kotzias inked an air services agreement and another pact on cooperation in the field of new and renewable energy.
At present there is no direct air connectivity between India and the southeastern European nation.
On talks between the two ministers, External Affairs Ministry Spokesperson Raveesh Kumar said the discussions covered all aspects of bilateral relationship and that the two leaders reaffirmed commitment to further expand cooperation in mutually beneficial spheres.
The volume of bilateral trade has gradually declined, primarily due to the economic recession faced by Greece. The country has been dependent on bailout packages to deal with its borrowing needs since 2011.
Greece's exports to India include cotton, marble and granite, aluminium foils and calcium carbonate while main Indian exports are petroleum products, automobile components, electrical transformers, frozen shrimps and cashew nuts.
Indian companies have established their presence in infrastructure, pharmaceuticals and steel sectors in Greece while the Greek companies are present in the fields of IT and construction in India.
"The sectors such as agriculture, shipping and tourism also offer scope for cooperation," the ministry said.
About 10,000 Indian nationals are living in Greece and most of them are employed in factories or in construction sector.