The rise comes a day after the government eased FDI norms in 15 sectors.
The Sensex rebounded by 201.67 points, or 0.78 per cent, to trade at 25,944.93 in the first 15 minutes of trade.
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The gauge had lost 847.33 points in the previous five sessions.
All the sectoral indices, led by realty, infrastructure, banking and capital goods, were trading in positive terrain with gains of up to 1.93 per cent.
On similar lines, the broad-based National Stock Exchange index Nifty recouped the 7,800-level by rising 64.60 points, or 0.82 per cent, to 7,847.95.
Brokers said the buying activity emerged on expectations of pick up in FDI after the government yesterday pushed ahead with major reforms, relaxing foreign investment rules in 15 sectors such as civil aviation, banking, defence, retail and news broadcasting and eased the process for approval of foreign investment.
Investors and funds open their new accounts on the first session of Samvat year 2072.
Meanwhile, the Sensex lost 1,043.97 points, and the NSE Nifty dropped by 212.55 points in Samvat 2071.
The share market remained bearish in the past few sessions on sustained foreign fund outflows, tepid Q2 earnings by blue-chip companies and the defeat of the BJP-led NDA alliance in Bihar assembly elections.