Can I pursue debts from a company that they incurred after they filed bankruptcy?

As far as I can find out on the web it depends on the type of
bankruptcy (chapter 7 , 11 or 13 )

Www.bankrate.com has a few good articles about how to deal with bankruptcies 

http://www.bankrate.com/brm/news/biz/Cashflow_banking/20010625a.asp

http://www.bankrate.com/brm/news/advice/20020827a.asp

Go to the bankruptcy court and find out who the bankruptcy trustee is
for that particular case.  It is that person you will need to contact
to find out how you would file a claim to be a creditor, whose claims
would then be put in line with all of the other creditors, to
hopefully eventually get paid, or you may want to consult a bankruptcy
attorney to find out how to do this.

If the debts were incurred after the company filed for bankruptcy,
then YES YES YES!!!

Basically, all debts incurred prior to filing for bankruptcy are not
likely to get paid.  Expect 2-10% of total amount owed.

All debts incurred after filing for bankruptcy are "more secured".  In
fact, companies file for bankruptcy b/c it helps their credit.

All debts incurred after filing for bankruptcy will be paid before
debts incurred prior to filing for bankruptcy.

Everybody who is owed money gets to fight for a piece of a pie that is
too small to go around.