This is the highest closing for both the indices since May 15.
In the Sensex pack, M&M was the biggest loser, tumbling by 6.66 per cent, followed by TCS dropping 4.14 per cent.
The laggards in the Sensex kitty were Vedanta, Tata Steel, M&M, HCL Tech, Bharti Airtel, Maruti Suzuki, L&T, Asian Paint and HDFC
Other than ITC, other laggards include PowerGrid, Infosys, M&M, NTPC, SBI, HDFC, Kotak Bank, HDFC Bank, TCS, Hero MotoCorp, Coal India, ONGC, RIL, Asian Paint, IndusInd Bank, ICICI Bank, Maruti Suzuki, Bajaj Auto, Tata Motors, Bharti Airtel and Axis Bank.
In the broader market, BSE midcap and BSE smallcap indices underperformed the larger counterparts and ended flat with a negative bias.
Also keenly watching inflation numbers, with wholesale inflation data expected today
The Fed's decision on tapering its monthly $85 billion bond-buying programme is expected later on Wednesday.
Both the indices ended at their highest levels since February 1.
Metal shares gained on hopes that the government may adopt ordinance route for mines sector reforms
Sun Pharma was the best gainer among Sensex components, surging 6.91 per cent
The Sensex and Nifty remained above their key levels of 36,000 and 10,900 throughout the session, indicating strong investor optimism after a prolonged spell of caution.
The BSE Sensex spurted 130.00 points to end at 35,980.93, while the broader NSE Nifty advanced 30.35 points to 10,802.15.
The NSE Nifty ended 89.40 points, or 0.83 per cent, lower at 10,710.45.
Offer size could vary from Rs 1,200 cr to Rs 2,000 cr
A widening probe by US authorities involving top drug companies following complaints of price fixing of generics was a point of worry for the participants, said analysts.
About 48.5 million shares, or 20 per cent of the shares on offer, are reserved for retail investors
A rising rupee is a tailwind for dollar investors.
Top gainers include Yes Bank, HUL, Vedanta, NTPC, Bharti Airtel, Adani Ports, PowerGrid and Tata Motors, rising up to 5 per cent.
Markets have witnessed a gap down opening mirroring losses in the global equities with US markets taking a hit on worries about the health of Chinese economy.
Eight investment banks including HSBC and India's ICICI Securities and SBI Capital have submitted bids to manage a 10-per cent stake divestment in state-owned Coal India.
India is Asia's other bad debt headache.
PFRDA will invite bids to appoint pension fund managers.
Muted quarterly earnings, mixed cues from global markets and unabated foreign fund outflows added to the volatility
The 30-share Sensex provisionally ended up 366 points at 27,275 and the 50-share Nifty ended up 132 points at 8,235.
Maruti Suzuki was the biggest gainer among Sensex scrips, rising 5.89 per cent, followed by M&M up 5.29 per cent.
It was an extremely volatile session, borne out by the Sensex swinging over 1,200 points through the day and the Nifty 369 points.
The 50-issue NSE Nifty in range-bound movements settled higher by 59.15 points, or 0.58 per cent, at 10,252.10.
The sentiment got support from better-than-expected earning results by select companies and continuous buying by domestic financial institutions.
Investor sentiments remained upbeat tracking global developments as the US, China geared up for trade talks due this week.
As many as 142 stocks from the S&P BSE500 index are currently trading below their level of May 12, 2014
Traders said falling crude prices in the global market was a big boost for the economy as it lightens the country's import bill burden, eases inflation and current account deficit concerns.
The broader NSE Nifty scaled a high of 10,856.55 before closing up by 55.90 points, or 0.52 per cent
HDFC Bank was the top loser in the Sensex pack, falling 2.99 per cent, followed by Adani Ports at 2.87 per cent.
The 50-stock NSE barometer Nifty finished 22.50 points, or 0.21 per cent, down at 10,526.20
Another negative surprise in HCL's numbers was the decline in the margin by 40 basis points to 21.4 per cent.
From the valuation angle, the market is showing similar signs of being over-valued without being in a bubble territory yet.
'No commercial bank will be allowed to fail. There is nothing to worry about.'
Shares of ING Vysya Bank and Kotak Mahindra Bank rallied by up to 6% on the BSE on reports that Kotak Mahindra Bank in final stages to buy the bank.
The fall came on the back of a massive selloff in NBFCs, led by DHFL which skidded over 50 per cent on fears of a liquidity crisis.
The broader NSE Nifty index too finished lower by 4.80 points, or 0.05 per cent, at 10,632.20.