But in a sign that sentiment remained fragile, trading volumes remained light and price action was choppy across markets.
Asian shares were generally weaker, however, despite a 0.6 percent gain in U.S. stock futures ESc1 which suggested a stronger opening on Wall Street later in the day.
MSCI's broadest index of Asia-Pacific shares outside Japan .MIAPJ0000PUS was down 0.4 percent, after Wall Street marked its worst two-day drop in about 10 months on Monday.
"Friday's Brexit jump scare has faded, but markets are still worried" about its possible effect on global demand, SLW brokerage trader João Paulo de Gracia Corrêa said.
Japanese stocks edged higher in volatile trade on Tuesday as a pause in sterling's fall offered some respite, but gains were capped by weakness in automakers.
Investors remained cautious on growing worries about the global economic fallout from Britain's vote to leave the European Union.
The Nikkei ended 0.1 percent higher at 15,323.14 after falling to as low as 14,987.79 earlier.
China stocks rebounded to a three-week closing high on Tuesday, led by small-caps, as the country's leaders sought to calm investors rattled by Britain's vote to leave the European Union.
The blue-chip CSI300 index rose 0.5 percent to 3,136.40 points, while the Shanghai Composite Index gained 0.6 percent to 2,912.56.
Hong Kong shares fell for the third session in a row on Tuesday as investors worried about the global financial and economic fallout from Britain's vote to leave the European Union.
The Hang Seng index fell 0.3 percent to 20,172.46 points, while the China Enterprises Index lost 0.4 percent to 8,536.16.
Reference: Reuters
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