The Sensex resumed higher at 27,479.87 and hovered in a range of 27,509.59 and 27,391.40 before quoting at 27,418.82 at 1000 hours. It showed a gain of 46.98 points, or 0.17 per cent, from its last weekend's level.
The CNX 50-share Nifty also moved up by 14.30 points, or 0.17 per cent, to 8,239.50 at 1000 hours.
Major gainers were Gail India (1.98 pct), NTPC (1.81 pct), Coal India (1.71 pct), SSLT (1.56 pct), ITC (1.39 pct), ONGC (1.29 pct), BHEL (1.22 pct) and Bharti Airtel (1.15 pct).
On Friday, US stocks ended higher and the S&P 500 came within a few points of its closing record high.
The S&P 500 index had climbed over the previous two sessions, spurred by the US Fed's commitment to take a "patient" approach toward raising interest rates, while signalling it was on track to boost rates in 2015.
Meanwhile, foreign portfolio investors (FPIs) sold shares worth a net Rs 668.85 crore on last Friday as per provisional data.