Asian stock markets opened lower on Tuesday, with the S&P/ASX 200 Index in Australia dropping 0.6% to 8,643.6 points in early trading amid fading optimism over a US-European Union tariff deal. Futures in Tokyo, Hong Kong, and Sydney declined as investors prepared for a busy week of corporate earnings and macroeconomic data releases. The dollar steadied following its largest gain since May. The negative sentiment in Asia-Pacific markets was influenced by mixed global market performances and anticipation of upcoming risk events, including US-China trade talks and the Federal Reserve's interest rate decision. Despite the early losses, the S&P/ASX 200 recovered slightly by the end of the session, closing 0.1% higher at 8,704.60 points. European equity futures indicated a positive open, with the Euro Stoxx 50 future up 0.2% after a 0.3% gain in the cash market.