When a commission has been issued upon application of a defendant pursuant to section 680.20, the court may, upon application of the people, issue another commission for examination, either in the same or another jurisdiction, of a person designated by the people, under the same conditions as prescribed in said section 680.20. In such case, the court may, upon application of the defendant, determine, in the manner provided in section 680.30, that such commission shall also authorize examination of a person or persons designated by the defendant.
New York Legal Code