Crucially, the US central bank softened the blow by making its forward guidance even more dovish.
"(The) government is of the view that the markets had already factored in the US Federal Reserve's decision and therefore is not likely to be surprised by these moderate changes," Chidambaram said in a written statement released by his office.
Worries over the Fed's possible tapering had triggered massive capital outflows between May and September from emerging markets.
Saddled with hefty current account and fiscal deficits, India looked the most vulnerable. The rupee went in a free fall, losing as much as 20 percent against the dollar before recovering. This prompted India to unleash a slew of measures to bolster its forex reserves and rein in the current account gap.
Chidambaram also spoke to Reserve Bank of India governor Raghuram Rajan on Thursday morning to discuss the Fed tapering,the statement added.
The 30-share index Sensex had gained 247.72 points in yesterday's trade following RBI decision to keep interest unchanged.
Read: US Fed decides to taper historic stimulus as US economy improves