The phrase 'with deep satisfaction' is often used to express the feeling of great contentment and pleasure. However, there are several synonyms that can be used to replace this phrase, including 'with immense gratification', 'with profound pleasure', 'with heartfelt delight', 'with unbridled joy', 'with overwhelming euphoria' and 'with complete fulfilment'. All of these phrases can be used in different contexts depending on the situation or the person's mood. For instance, 'with profound pleasure' could be used to describe the feeling of accomplishment after completing a difficult task, while 'with unbridled joy' might be used to express the feeling of overwhelming happiness after achieving a long-awaited goal.