A higher opening in Europe and a mixed trend in Asia offered some respite.
Sentiment got a lift after Tata Power and National Fertilisers posted strong earnings for the March quarter, brokers said.
But the possibility of the US Federal Reserve raising borrowing costs kept investors on a leash, which capped the gains. A higher rate would temper capital flows to emerging markets, including India.
The gauge had fallen 549 points in the past four sessions on foreign fund outflows after regulator Sebi tightened guidelines to check any misuse of P-Notes.
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Tata Power and National Fertilisers surged up to 3 per cent after their quarterly numbers for the March quarter gave investors much to cheer.
However, Jubilant FoodWorks and Britannia Industries tumbled up to 4.45 per cent today amid concerns over bread samples of virtually all top brands in Delhi reportedly containing cancer-causing chemicals.
Foreign portfolio investors (FPIs) sold shares worth a net Rs 65.60 crore yesterday, as per provisional data.
Of the 30-share Sensex pack, 17 ended higher.
NTPC stayed in the lead, up 2.03 per cent, followed by Tata Motors (1.70 per cent), ICICI Bank (1.56 per cent) and HDFC (1.33 per cent).
Among BSE sectoral and industry indices, auto rose by 0.32 per cent followed by banking 0.28 per cent and FMCG 0.18 per cent. Oil and gas fell 1.01 per cent and healthcare shed (0.88 per cent).
Japan's Nikkei ended 0.94 per cent higher while China's Shanghai Composite closed 0.77 per cent up while Hong Kong's Hang Seng closed 0.11 per cent higher.
(REOPENS BOM2)
Ambit Investment Advisors CEO Andrew Holland, who hails from Britain and has been active in Indian equity markets since 2006, said "Brexit is a huge negative outcome and has far reaching ramifications for global markets and economies."
He also raised concern that some other countries may hold their own referendums and concerns would rise as to whether the European Union will disintegrate.
"We could therefore re-visit the concerns of earlier this year that the global economy could now take a shift down and central banks have fired most of their ammunition and anyways it is not really working. So politics will be at the forefront of markets and with that huge volatility."
Pankaj Sharma, Head of Equities, Equirus Securities, said the Brexit outcome is a surprise and it is completely opposite of what the markets were factoring in even as late as few hours back.
"We would also expect a negative impact on affected local currencies and that would mean that Rupee would also be volatile."
He further said the exposure is significant for sectors like IT and Pharma and specific names in autos, and there would be negative impact on these names as well.
"But, more than anything else, it is a disastrous outcome for an already fragile global economy and that would make task of recovery even more difficult in larger economies of the world like China and US. Perhaps the only silver lining we can see in an otherwise gloomy outcome is that you can rule out the Fed rate hike at least for the calendar year 2016.