I want to mention that India and Pakistan countries have been engaged
in bilateral talks to solve the long-standing problem of  Kashmir
province so therefore I want to know that how much "progress"  has
been made to solve the above mentioned problem of Kashmir province.
Please provide 'general information' about the above mentioned
question.

This looks pretty much the state of play :-
http://news.bbc.co.uk/2/hi/south_asia/4430730.stm

This precedes it :-
http://news.bbc.co.uk/1/hi/world/south_asia/4357006.stm

The earthquake calmed things down quite a lot
- also, astonishingly, playing cricket

This gives some interesting background :-
http://ko.offroadpakistan.com/pakistan/2004_01/india_pakistan_and_the_kashmir_issue.html

My understanding there has not been that much actual 'progress', but
the general hostility has died down, which is a substantial turn for
the good.

Incidentally Pakistan is determined to retain its long term friendship
with the USA, and now that the USA has decided that India is worth
getting close to, the US is unusually acting as a 'peace monger'.