[verb (dictionary form)] + 際に [verb た-form] + 際に [noun] + の + 際に その + 際に
際に means "when", "on the occasion of". It is the formal word for とき時に, and you meet it in notices, instructions, manuals and business messages. A verb goes in the dictionary form or the た-form; a noun takes の.
The noun is almost always an action – applying, leaving, using – and in polite notices it carries お or ご: ごりよう利用のさい際, おかえりお帰りのさい際.
In conversation with friends, 際 sounds stiff. Use とき時 there.
With は in place of に, the occasion becomes the topic: "if or when that happens". Signs and instructions use it for what to do in a given situation.
そのさい際 points back to an occasion already mentioned: "at that time".