Europe's main stock markets rallied in opening deals on Tuesday, rebounding from recent Brexit-driven heavy losses despite lingering fears over the global economic fallout.

London's benchmark FTSE 100 index won 2.0 percent to 6,103.82 points, accelerating initial gains, while Frankfurt's DAX 30 added almost 2.1 percent to 9,458.38 points and the Paris CAC 40 jumped nearly 2.3 percent to 4,074.36.