Investors seem to be more confident after European leaders took steps during the weekend to prevent their debt crisis from undermining the euro.
"It could very well be that the storm has been weathered," said Tim Condon, head of Asia research for ING in Singapore.
Markets around the world plummeted last week.
Many have been worried that Greece's debt problems will continue, and undermine a global economic recovery. As a result, 16 European countries and the International Monetary Fund have agreed to a $1 trillion plan to rescue European nations under heavy debt.
The U.S. Federal Reserve also joined in and said it will also loans overseas.
U.S. markets bounced back on Monday after major declines last week.