The S&P BSE Sensex index rose as much as 288 points to touch 58,779.42 in the first few minutes of trade, and the broader NSE Nifty50 benchmark climbed to as high as 17,479.90, up 83 points from its previous close.
HCL Tech was the top Nifty50 gainer in early deals, up 2.42 per cent.
, Tech Mahindra, and were among other blue-chip top performers.
On the other hand, Nestle was the top laggard, down 0.82 per cent. Grasim, , Maruti and Power Grid were among other losers.
Equities in other Asian markets dropped in early trade. MSCI’s broadest index of Asia-Pacific shares outside Japan was down 0.34 per cent.
Overnight on Wall Street, the three benchmark indices ended sharply lower. Dow Jones tanked 1.78% to 33,970.47, while S&P 500 declined 1.70% to 4,357.73. Nasdaq dropped 2.19% to 14,713.90
Meanwhile, in the oil market, crude prices advanced with Brent futures up 52 cents or 0.7% to $74.44 a barrel by 0212 GMT, having fallen by almost 2% on Monday. The contract for West Texas Intermediate (WTI), which expires later on Tuesday, was up 61 cents or 0.9 at $70.90 after dropping 2.3% in the previous session.