clash of minds; emotional conflict; discord
Describes a situation where people's feelings, opinions, or personalities collide, often in close relationships like friendship. The phrase emphasizes the emotional friction rather than a simple disagreement.
Precisely because we are close friends, we were able to overcome our emotional clash.
Those two often have emotional conflicts, but in the end they get along well.
Compound of 心 (こころ, 'heart, mind') + の (possessive particle) + ぶつかり合い (ぶつかりあい, 'clashing with each other'), from ぶつかる ('to collide') + 合う ('mutually'). The phrase literally means 'mutual collision of hearts'.