The phrase "make advances to" can refer to a wide range of actions, from flattery to flirting to outright propositioning. Depending on the context, alternative synonyms may be more appropriate. For instance, if you're simply trying to initiate a conversation with someone, you might use the phrase "approach" instead. If you're trying to express romantic interest without being too direct, you might use phrases like "showing affection for" or "courting." On the other hand, if you're looking to express interest in a sexual encounter, you might use more explicit language like "making a move" or "suggesting intimacy." Ultimately, the best synonym will depend on the context and the level of formality or intensity you're aiming for.