"Tramped down" is a phrase used to describe something that has been compacted or flattened by foot traffic. However, there are other synonyms that can be used to describe the same action. "Pressed down" is a commonly used phrase that implies the same meaning as "tramped down." Other alternatives include "tamped down," "stomped down," and "beaten down." The usage of these alternative phrases depends on the context and tone of the overall sentence. Nevertheless, it is always good to have a variety of options to choose from, especially when trying to convey different shades of meaning.