Pressing for means putting pressure on or making a strong demand for something to happen. There are several synonyms for this phrase, which include urging, insisting, demanding, compelling, and pushing for. Urging refers to encouraging or persuading someone to take action, while insisting is all about maintaining a firm and resolute stance on a matter. Demanding is a more forceful synonym, indicating an expectation that something must be done. Compelling is a word that suggests that the situation is urgent or necessary, while pushing for conveys a sense of determination and perseverance in getting what one wants. All these synonyms signify the urgency and importance of making something happen.