Encroachingly is an adverb that describes behavior characterized by impinging or intruding upon something else, often without permission. Some synonyms for encroachingly include invasive, infringing, obtrusively, intrusive, presumptuous, pushy, unwarranted, trespassing, overbearing, and presuming. These words all convey a sense of overstepping boundaries or taking too much liberty, often with negative connotations. Depending on the context, certain synonyms may be more appropriate than others. For instance, if someone is encroaching on your personal space, you may describe their behavior as invasive or intrusive. Alternatively, if someone is encroaching on your intellectual property rights, you may use the term infringing.