A Singapore Exchange logo sits outside their head office in Singapore. REUTERS

Singapore stocks fell for a second session on Tuesday, dragged lower by lenders such as DBS Group amidst weakness in the Chinese markets.

Asian shares stepped back from decade highs on Tuesday as Chinese stocks stumbled for a second straight session.

MSCI's broadest index of Asia-Pacific shares outside Japan slipped 0.3 percent from last week's high of 570.21 points. It was on track to end November in the black.

Investors are gearing up for a big week, with U.S. President Donald Trump scheduled to address Senate Republicans Tuesday ahead of a potential vote on a tax overhaul.

At 0510 GMT, the Straits Times Index declined 0.17 percent or 6 points to 3,430. It ended 0.17 percent lower on Monday, taking the year-to-date performance to about 19 percent.

DBS Group Holdings dropped 1.2 percent but United Overseas Bank gained 0.8 percent while Oversea-Chinese Banking was up 0.7 percent.

Addvalue Technologies, a provider of wireless and broadband communications solution, rose 2.4 percent after the company said it is exploring the possibility of spinning-off its subsidiary, Addvalue Solutions.

Singapore-listed Ying Li International Real Estate climbed 6 percent after it entered into an agreement with China's Shengyu to sell its stake in unit Shiny Profit for 3.29 billion yuan (S$671.9 million) in cash.

Engineering services provider Boustead Projects gained 2.3 percent after its units secured two contracts totaling about S$67 million from repeat clients.
About 821 million shares worth S$383 million changed hands, with losers outnumbering gainers 189 to 132.

About 995 million shares worth S$532 million changed hands, with gainers outnumbering losers 212 to 135.