A Muslim invited to participate in a non-Islamic cultural practice should navigate the situation by considering whether the activity aligns with Islamic principles and values. They should assess if the practice involves anything that contradicts Islamic teachings, such as actions that promote shirk (associating partners with God), immoral behavior, or prohibited activities. If the practice is harmless and culturally enriching, they may choose to participate in a respectful manner, while maintaining their own religious integrity. It’s also acceptable to politely decline if they feel uncomfortable or if it compromises their faith.