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French President Francois Hollande has also been pushing for a grand coalition which includes Russia and the US.
Russian Premier Dmitry Medvedev will be on a state visit to China from 14-17 December.
Media reports quoted Russian officials saying "both India and Goa were not considered as good destinations for Russian travellers".
Greece and Turkey are embroiled in a dispute over the sovereignty of islands in the Aegean Sea.
Turkey is the most popular foreign destination for Russians, with 3.3 million making the trip in the first nine months of this year.
Putin told Hollande that Russia is ready and willing to work with France in any anti-terrorism effort.
Moscow would deploy S-400 anti-aircraft missile defense systems at its bases in Syria.
Russian weapons were exported to 56 countries, with India, China and Algeria making for almost 60 per cent of total sales.
Turkey said it shot the jet down on Tuesday after repeated warnings over air space violations.
Putin will discuss Syria with Jordanian monarch Abdullah when he visits Sochi on Tuesday.
