How to configure automatic daily downloads?

My hosting company puts a zip file (todays_date.gz) with the daily access logs into a SUB DOMAIN on my website. ( These files are deleted after 7 days. Smart ftp connections stay open for a maximum 10 minutes unless files are physically transferred, then the host terminates the connection. How do I configure Smart ftp to download the contents of the sub-domain every day, whilst ensuring I have an open connection? Any help appreciated.

Hong Kong Pete