The phrase "impressed upon" is commonly used to describe a strong impact or influence that is made on someone's mind or memory. There are several other phrases and words that can be used to convey similar meanings, such as "stamped on", "engraved in", "burned into", "indelibly imprinted", "fixed firmly", "deeply ingrained", and "embedded deeply". These synonyms can be used to add variety and depth to writing and speech, providing a way to describe something in a more vivid and precise way. Regardless of the word choice, the goal is to convey a powerful and lasting impression on the audience.