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I will start by greeting the phone partner and introducing myself and the institution that I am working with and asking about his\\her name so they can be called with. Moreover, asking an open qustion like how can help you today? is a great helping tool. After that I will work on what the phone partner want me to help him\\her with. Lastly and before I thank the customer end up the phone call I will ask him\\her for any further survices that I can do for him\\her.
Always mention your company name in your greeting. It confirms where the caller is ringing without them having to check and sets the tone for a professional conversation