1
general::
Phrase(s): cross swords (with someone)
Fig. to become the adversary of someone. • Gloria loved an argument and was looking forward to crossing swords with Sally.
McGrawhill's American Idioms And Phrasal Verbs
2
general::
Fight, either verbally or physically. For example, At every policy meeting the two vice-presidents crossed swords. This phrase alludes to the ancient form of combat using swords. Also see AT SWORD'S POINT.
American Heritage Idioms