In order to pull out results from the page you mentioned above you would need an account to legally use it's API and that's quite (ridiculously) expensive. Sure, one could also do a script to parse that web page, but requires a tone of work and at some point they might change the layout or simply ban your IP.
So... google for an alternative.
Once the game is over, the king and the pawn go back in the same box.
from what I've seen this types of sites offer a free account that's ad-supported and it's limited in functions and a "premium" account with access to it's API (if they have one). Also, they all have a TOS (short of Terms Of Service) with that you agree upon continuing visiting their site that states you aren't allowed to use any sort of program/script to fetch any information off their site, hence the fees.
Bottom line is that you won't find what the features you are looking for without paying anything, even if you ignore what's written in it's TOS (see IMDB script for instance) and go ahead with parsing a site, mainly cos have limited functions.
The only remaining solution would be creating your own database with timezone for each city, country or whatever you want and take things from there onwards.
Once the game is over, the king and the pawn go back in the same box.