Short answer

Be a real friend, whether or not your friend ever becomes Muslim. First ask which kind of Buddhism they follow, because Theravada, Mahayana and a Western meditator's Buddhism differ. Start from what you share: no stealing, lying, adultery or intoxicants, kindness to living creatures, and the truth that this world passes. Then ask what made the world and what comes after death, and listen. Say what Islam teaches honestly and gently (16:125). Never mock the Buddha, a monk or a shrine (6:108). Do not call Buddhists atheists. Do not call the Buddha a prophet, or a false teacher. If your friend asks whether you are trying to convert them, say no: only God (﷾) guides hearts (28:56). You are making them aware of Islam in a friendly discussion, not a debate, and the choice is theirs (2:256). If they say no, end as Muslims are taught: "To you be your Way, and to me mine" (109:6). Then keep the friendship. Keep the talk away from politics. Then read the pages written for Buddhist readers together, and let the Qur'an speak for itself.

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