adverbially
Adverb
Meaning
In the manner of an adverb.
Source: Webster's dictionarySynonyms
Examples
the prepositional phrase here is used adverbially
A German word like klug ("clever(ly)") takes endings when used as an attributive adjective, but not when used adverbially.
Predicates can be used adverbially to modify the main predicate in the sentence in the same way.