India's BSE Sensex closed about 0.4% up at 82,570.9 on Tuesday, staging a mild rebound after four straight sessions of losses, buoyed by softer-than-expected domestic inflation figures and optimism around a potential US-India deal. Consumer price inflation eased more than expected to a six-year low of 2.10% in June, bolstering expectations for future rate cuts that could help support economic growth. Additionally, optimism is growing around the possibility of an interim trade agreement with the US, which could lead to a moderation in tariff-related risks. On the corporate front, gains were seen across most sectors. Among key movers, Sun Pharma shares rallied nearly 3% after the company announced a settlement with US-based Incyte Corporation regarding the hair loss treatment Leqselvi, easing regulatory uncertainty.