The phrase "brush against" typically refers to a light and accidental contact or touch. There are several synonyms for this phrase, including graze, skim, touch lightly, rub against, and nudge. All of these words convey the idea of something lightly touching or passing against another object or surface. Graze and skim tend to imply a longer and more continuous contact, whereas touch lightly and nudge emphasize a brief and more deliberate touch. Similarly, rub against suggests a more forceful and intentional action, but can still express the same general idea as brush against. These synonyms can be used interchangeably to add variety and nuance to a sentence or description.