Also, the broader NSE Nifty managed to again went past the key 8,800-mark.
Sentiment was bolstered by positive global cues as investors cheered the rally in oil and awaited the start of the Federal Reserve policy meeting later this week. Benchmark Brent crude price rose 1 per cent to USD 46.55 a barrel.
However, it slipped into negative briefly to hit a low of 28,552.55 before settling 35.47 points or 0.12 per cent higher at 28,634.50 - its highest closing since September 9, when it had ended at 28,797.25.
The gauge had risen 245.49 points in the previous three days on firm global cues on receding fears of a US rate hike.
The Nifty after shuttling between 8,824.30 and 8,774.20, settled 28.55 points or 0.33 per cent up at 8,808.40.
Shares of software services exporters, led by TCS and Infosys, were back in the limelight and contributed major support to the Sensex.
TCS was right on top rising 1.96 per cent to Rs 2,407.35, Wipro was up 0.13 per cent at Rs 480.40, while Infosys gained 0.08 per cent to Rs 1,061.15.
According to Morgan Stanley report, emerging market growth is expected to improve to 4.7 per cent in 2017 from 4 per cent this year as more economies, including India, will transition towards gradual recovery, too positively impacted sentiments.
As many as 21 scrips out of 30-share Sensex pack ended up.
Other big movers included Adani Ports (1.60 pc), Coal India (1.17 pc), ONGC (1.07 pc), Asian Paints (1.04 pc), Power Grid (0.97 pc), Cipla (0.90 pc), Tata Motors (0.84 pc), Tata Steel (0.70 pc), RIL (0.62 pc) and NTPC (0.59 pc).
Shares of Heritage Foods surged over 10.20 per cent to Rs 901.90 after the company said it is in talks with Kishore Biyani-led Future Group for a possible stake sale to the home-grown retail major.
Sectorwise, BSE realty index was in the thick of action as the index rose 1.60 per cent followed by metal 1.33 per cent, infrastructure 0.96 per cent, PSU 0.88 per cent, power 0.76 per cent and oil&gas 0.70 per cent.
Mid-cap and small-cap too firmed up by 0.63 per cent and and 0.52 per cent, respectively, on continued buying by retail investors.
