The broader Nifty was up 46.15 points, or 0.44 per cent, at 10,311.80.
Domestic institutional investors (DIIs) bought shares worth Rs 1,243 crore on Friday, as per provisional data.
A firming trend in Asia as investors cheered more records on Wall Street and strong US jobs data influenced sentiment here, brokers said.
Optimistic buying by participants ahead of industrial production and inflation numbers to be released later this week too supported the rally.
Prominent gainers included Bharti Airtel, Axis Bank, SBI, Wipro, ITC Ltd, Tata Steel, Maruti Suzuki, HDFC Ltd, Lupin, Tata Motors, Coal India and Sun Pharma, rising up to 1.73 per cent.
Japan’s Nikkei gained 0.04 per cent and Shanghai Composite rose 0.40 per cent in early trading on Monday while Hong Kong’s Hang Seng was up 0.51 per cent.
The US Dow Jones Industrial Average ended 0.49 per cent higher on Friday.