The Reserve Bank of India increased its policy rate by 25 basis points to 8.00 percent, though it said it does not foresee further near-term tightening if consumer price inflation eases as projected.
Elsewhere, the South Korean won and the Taiwan dollar rose on demand from local exporters, while Malaysia's ringgit gained as local investors cut bearish positions.
Still, market participants remained wary ahead of a two-day Federal Reserve meeting at which the US central bank is expected to reduce its bond-buying programme buy another $10 billion, with some foreign investors selling emerging Asian currencies on rallies.
Emerging Asian currencies are not immune to any further fallout from other developing markets such as Turkey, traders and analysts also said.
Reflecting a preference for safer assets, the Singapore dollar rose as investors covered short positions.
The city-state currency found more support from demand against the ringgit.