How to further follow up after contacting project supervisor twice? I am applying for a foreign research internship/ scholarship that requires the applicants to first approach their potential adviser over email. 

I had sent my first email around the end of August and then a follow up email around September 18.
I heard back from the professor the next day, who said that my application will go through a pipeline and then he will let me know if there is a further possibility for me.
It has already been a month since that.

Now here's the thing, the deadline for application is approaching fast and there is a need for a number of documents to be prepared and processed both by me and my potential supervisor before that. Also, my institute has declared an official holiday of about two weeks, so it won't be possible to get the signatures and stamps from my home institute before that (nearly October 25 and the deadline is November 1).

Should I send a second email? If I should, then how can I structure such an email without sounding impatient and unprofessional?
Too late to be useful, but I'm on an "unanswered questions" kick, so...

Yes, I would contact him again. The worst that can happen is that he is annoyed; the best that can happen is that you get your internship. 

How to structure it? Concisely. Like this:


  Dear Professor, Sorry to pester you, but if we move ahead with this, I will need to get the signatures/stamps from my home institute this week. Is there any update about my status? I am still highly interested in this opportunity. Thank you, -Name.