Who wins in swordfighting? they only fighting with a sword. no other weaapons
Conan would put the ice on Zorro. Conan is physically stronger swinging his broad sword against Zorro and his rapier. Maybe his speed and agility would give him a few extra minutes of fighting until Conan amps up the ass kicking so he can get back to loving, slaying, stealing and being content. By Crom
Conan stomps. Even if Zorro's speed is greater (and that's debatable), Conan has no qualms about catching the sword in his hand to neutralize Zorro's weapon before decapitating him.
Zoro isn't faster than Conan. Conan can dodge arrows after they are fired by seeing their reflection.