In the previous week, reserves had declined by $1.03 billion to $353.33 billion.
They had touched a life-time high of $355.46 billion in the fortnight ended June 19.
Foreign currency assets (FCAs), which are a major component of overall reserves, rose by $314.2 million to $329.245 billion in the week, the data showed.
FCAs, expressed in dollar terms, include the effect of appreciation and depreciation of non-US currencies such as the euro, pound and the yen, held in the reserves.
The country's gold reserves remained unchanged at $19.074 billion.
The special drawing rights with the International Monetary Fund were up by $5.8 million to $4.024 billion in the week under review, while the country's reserve position with the Fund also rose by $1.8 million to $1.304 billion, RBI said.