In Paris, the CAC 40 added 30.07 points, or 0.87%, to 3,501.93, amid news the French PMI services index fell to 59.6 from 59.9 in October, but the overall European services index rose to 57.5 from 56 in October.
Germany's DAX index gained 66.40 points, or 1.74%, to 3,875.66 as the European services index rose to 57.5 from October's 56.
Asian stock markets finished lower. Japan's Nikkei 225 index dropped 83.76 points, or 0.80%, to 10,326.39, with losses led by Takefuji Corp. the nation's biggest consumer finance firm, whose CEO is involved in a wiretapping scandal. In Hong Kong, the Hang Seng index shed 51.05 points, or 0.41%, to finish at 12,361.18.
Canada's benchmark S&P/TSX rose 32.28 points, or 0.41%, to 7,959.88.