REUTERS/Wolfgang Rattay
Here's the scorecard:
France's CAC 40: +0.75%
Germany's DAX: +0.65%
Spain's IBEX: +0.33%
Italy's FTSE MIB: +0.62%
Asian markets closed up too. Japan's Nikkei finished 0.42% and Hong Kong's Hang Seng climbed 1.23% from Monday's drop.
US futures are up too: the S&P is 4.25 points higher and the Dow is up 42 points ahead of Tuesday's opening.
It's a light day for data but several senior Federal Reserve figures are giving speeches later: watch out for news lines from chair Janet Yellen, Stanley Fischer and Lael Brainard, which could give some indication as to the Fed's current stance.