Baloch was arrested by Interpol officials from Dubai airport on December 29 when he had landed in the Gulf country from Muscat.
The interior ministry said Dubai officials and Interpol should be contacted for bringing Uzair back to Pakistan.
The gangster was absconding from Pakistan after he was nominated in various cases of terrorism and murder.
He was carrying an Iranian passport at the time of his arrest. In 2012, the court of a judicial magistrate in Karachi had declared Uzair Baloch and his accomplices as proclaimed offenders.