Credit: Ciao Pix/

Catch them if you can!

Leonardo DiCaprio and Blake Lively's dazzling European courtship continues apace! On Thursday afternoon, the hot new twosome turned up on a water taxi on a canal in the ultra-romantic, ancient city of Venice, Italy.

It's just the latest posh stop on the continent for the Oscar-nominated actor, 36, and the Gossip Girl star, 24, who've been hop-scotching Europe's most luxurious locales since mid-May, as reported in the new Us Weekly, out now.

Just weeks after his split with on-and-off model girlfriend Bar Rafaeli, DiCaprio began wooing Lively with massive, flamboyant style: a helicopter ride to Saint-Paul de Vence, France for lunch at La Colombe d'Or Restaurant for a $500 lunch (the Titanic hunk left a $500 tip!), sexy stays at a $5,000-a-night suite at Hotel de Paris, a Belle Epoque palace in Monte Carlo, and a bash aboard a $52 million yacht, to name a few outings.

"I've never seen him like this with a girl," one source says of ladies' man DiCaprio.

As for Lively? She's crushed on DiCaprio since Titanic was in theaters -- when she was 10! "Being charmed by him isn't the worst thing in the world!" one confidante tells Us.