Antonyms for the phrase "curling one's lip" would include smiling or grinning. This expression typically denotes disdain or disgust, so an antonym might indicate a positive emotion or reaction. Other antonyms might be laughing, chuckling, or giggling. Depending on context, the opposite of "curling one's lip" could also include simple neutrality, such as a blank expression or a lack of emotional response. Antonyms for this phrase all convey a sense of openness, warmth, or acceptance, rather than the sneering or contemptuous tone associated with curling one's lip.