In Paris, the CAC 40 ended higher by 9.62 points, or 0.29% at 3,310.70. Traders on Germany's Dax index backed off from their gains late into Tuesday's session, and the Dax finished down 2.7 points, or 0.08% to 3,504.53. Earlier, the DAX was in positive territory after a ZEW Institute investor confidence index reading showed that confidence was at 52.5 in August, up from 41.9 in July.
Asian markets finished mixed. Japan's Nikkei 225 index pushed ahead 1.41% to finish at 10,174.10, as investors got word of the Nikkei's Monday high, and were encouraged by Wall Street's strong finish on Monday. Sumitomo Real Estate & Development added 12.83%, while Mitsubishi Estate and Mitsui Fudosan rose 6.22% and 6.56% respectively.
In Hong Kong, the Hang Seng index slipped 15.75 points, or 0.15%, to close at 10,509.29.
Canada's benchmark S&P/TSX rose 63.58 points, or 0.86%, to 7,474.91.