"Wrap round" is a common phrasal verb that suggests enclosing or enfoldment of something. However, there are many synonyms that can be used to replace this phrase and explicate the same essence of the action. These may include "encircle," "surround," "twine around," "coil around," "envelop," "embrace," "hug," "engulf," "enclose," "furl around," "enwind," "entwine," and "pivot around." All of these terms have their unique connotations that can be used depending on the context of the sentence. So, whether it's describing a physical action, an emotional connection, or a circumstantial occurrence, the use of these synonyms can add variety and depth to your writing.