After accepting a $125 billion bailout on behalf of its banks during the weekend, Spain saw its yields on its 10-year benchmark government bonds rise Monday. Yields also rose Monday in Italy, where there is fear the spreading crisis in confidence could accelerate.
By close of trading, stock markets rose in New York, with the Dow Jones industrial average gaining 162.57 points, 1.31 percent, to 12,573.80.
The Nasdaq composite index added 33.34 points or 1.19 percent to 2,843.07.
The Standard and Poor's 500 gained 15.25 points or 1.17 percent to 1,324.18.
On the New York Stock Exchange, 2,385 stocks advanced and 667 declined on a volume of 3.2 billion shares traded.
The benchmark 10-year treasury note fell 23/32 to yield 1.666 percent.
The euro rose to $1.2506 from Monday's $1.2482. Against the yen, the dollar rose to 79.54 yen from Monday's 79.44 yen.
In Tokyo, the Nikkei 225 index lost 1.02 percent, 88.18 points, to 8,536.72.
In London, the FTSE 100 index rose 0.76 percent, 41.37, to 5,473.74.