cross swords
• have an argument or dispute.
• "the two leaders crossed swords"
Similar:
quarrel,
disagree,
have a dispute,
wrangle,
bicker,
be at odds,
be at loggerheads,
lock horns,
lock antlers,
fight,
do battle,
engage in conflict,
contend,
challenge,
have a dust-up,
have a scrap,
have a barney,