The phrase "brought round" refers to the act of persuading or convincing someone to change their opinion or outlook. Antonyms for "brought round" might include words such as "resisted," "opposed," "defied," "challenged," or "rejected." These words suggest a sense of resistance or opposition to the actions or ideas of others, rather than a willingness to be persuaded or convinced. Other antonyms for "brought round" might include words like "disagreed," "dissented," "countered," or "objected," which all suggest a more active and critical stance towards the ideas or behaviors of others.