The benchmark BSE index closed 0.01 percent higher at 36,321.29, while the broader NSE index ended up 0.03 percent at 10,890.30.
Shares of Reliance Industries climbed 0.55 percent. The conglomerate is due to report its quarterly results on Thursday.
Beleaguered carrier Jet Airways Ltd closed 8.17 percent lower. The company said its resolution plan with State Bank of India was being discussed with its stakeholders.
"Expectations from Reliance is good, Jio's foothold in the industry is perceived as a positive by the market," said Saurabh Jain, assistant vice-president (Research) at SMC Global Securities.
"Besides, early numbers have suggested that Indian ITs are doing well, the momentum in digital space seen in 2018 will continue this year, so there is overall positivity." Gains in the financial sector were driven by ICICI Bank and State Bank of India, both rising as much as 1.6 percent and 1.56 percent, respectively.