Green Glove (The) (a k a The Gauntlet) (1952)

In World War II France, American soldier Michael Blake captures, then loses Nazi-collaborator art thief Paul Rona, who leaves behind a gem studded gauntlet (a stolen religious relic). Years later, financial reverses lead Mike to return in search of the object. In Paris, he must dodge mysterious followers and a corpse that's hard to explain; so he and attractive tour guide Christine decamp on a cross-country pursuit that becomes love on the run...then takes yet another turn.