Dear XXX,
Hello my friend, how are you doing lately? It is a long time no see and I miss you very much.
I am very well now ,and my study and life are OK recently. The new year is coming, now I'm busy with the exams. What about you?
I faithfully invite you to come and see me if you are available,I promise that it will be your unforgettable travel.
I am looking forward to hearing from you, and, Happy New Year!
Yours sencerely,
XXX