When giving a strong suggestion to someone, it's important to use words and phrases that convey the urgency of your message. Some synonyms for "strong suggestion" include "firm recommendation," "forceful advice," "compelling proposal," "urgent request," "emphatic proposal," "vigorous suggestion," "stern counsel," "strict guidance," and "insistent urging." Each of these phrases carries a different level of assertiveness, making it easy to tailor your message to the situation at hand. Whether you need to persuade someone to take action or simply encourage them to consider a different approach, these synonyms can help you communicate your message with clarity and conviction.