Last week, Rajan also met the newly appointed finance minister Arun Jaitley and had said fighting price increase is a priority, stressing that the central bank has always maintained a balance between the need to check inflation and prop up growth.
"Governor of the Reserve Bank of India (RBI) Raghuram Rajan called on Prime Minister Shri Narendra Modi at 7, Race Course Road today. It was a courtesy call," an official statement said.
India's economic growth stayed below 5% for the second year in a row at 4.7% in 2013-14. Growth remained subdued at 4.6% in the fourth quarter.
The Reserve Bank of India may leave key interest rates unchanged in its June 3 monetary policy review as Rajan is likely to prefer containing stubborn inflation before conceding to demands for a rate cut to boost growth.
"RBI is likely to maintain status quo as inflation is still high and the threat of monsoon being weak this time is looming large," Indian Overseas Bank chairman and managing director M Narendra said.
Rajan had kept the policy rate unchanged at 8% in its April 1 review as inflation, especially of food items, hovered at over 8%. Food inflation in April stood at 9.66% and retail inflation was at 8.59%.