There are several synonyms that can be used in place of the phrase "coming round." One option is "reviving," which suggests a return to consciousness or waking up from a state of unconsciousness. Another option is "recovering," which implies a gradual return to health or strength after an illness or injury. "Restoring" is a similar alternative, suggesting a process of regaining one's former physical or mental state. Another synonym is "awakening," which can be used to describe a sudden or dramatic return to consciousness or awareness. Finally, "regaining" can be used to signify a process of reclaiming something that was lost, whether that be consciousness or control over one's own life.