"To escalate the conflict" means to make a disagreement or argument more intense or serious, often by increasing aggression, hostility, or the level of involvement. Full definition
The number one cause of escalating conflict in marriage is one we rarely talk about. (drkellyflanagan.com)
With the growth of mass communication channels, media wars have become a strong and powerful machine of creating, conducting and escalating conflicts between countries, nations and communities. (fluxfactory.org)
The result is a more effective problem solving during conflict, more repair attempts (an action or statement that reduces escalating conflict) and a positive attitude interacting in the relationship. (frontrangecounselingcenter.com)