Singapore shares continued to rally on Tuesday, despite mixed signals from the regional markets with investors showcasing caution in view of US President Donald Trump's much-publicized criticism of US Federal Reserve Chair Jerome Powell for not lowering interest rates.

The Straits Times Index (STI), a key benchmark for the Singapore Exchange, ranged between 3,739.40 and 3,823.31 throughout the day. It ended the session at 3,795.41, up 36.19 points or 0.96% compared to Monday's close.

In company news, shares of Nanofilm Technologies' (SGX:MZH) nearly 7% after the company's revenue rose 12% year on year in the first quarter ended March 31 to reach SG$44 million.

Keppel Infrastructure Trust's (SGX:A7RU) shares were down nearly 4% at the close after its distributable income during the first quarter of the year surged 28% to SG$65.0 million from SG$50.9 million a year earlier.

Meanwhile, shares of Parkway Life REIT (SGX:C2PU) were up nearly 1% after the trust entered into a sale and purchase agreement with Pantai Medical Centre for the divestment of strata units and lots at MOB Specialist Clinics in Malaysia for a total consideration of 20.1 million ringgit.