> but then it freezes, with: 
> active connections: none
> 'Parsing HTML file...'
> This situation can last for 15 hours or even more;
> if I interrupt the mirroring and then resume it the
> situation does not change (yesterday I did it and

I use 3.32 but I remember seeing this on some version.
Instead of resumeing (I assume you mean Action=Continue,) try Action=Update