When it comes to synonyms for the word "besieges," there are a number of options to choose from. Some common choices might include "encircles," "surrounds," "encompasses," or "engulfs." Other possibilities might include "assails," "attacks," "plagues," or "harasses." Depending on the context in which the word is being used, other synonyms might include "confronts," "challenges," or "constrains." Regardless of the choice, each of these synonyms conveys a sense of pressure and intensity, indicating a situation in which someone or something is being closely pressed in on from all sides.