Q. Is it permissible to have qurbani done on your behalf in your home country, while you are living abroad.

A. Yes, it is permissible, provided that the qurbani is not done prior to your Eid salaah.

Please read our final paragraph of this question. It answers your question. Should this not be clear for you, please resend your query.

May Allah bless you for your question. Wishing you and all Muslims a super EidulAdha,  Ameen.

Allah certainly knows best.