CALIFORNIA ACCIDENT | INSURANCE COMPANY: Should I talk to the other driver's insurance company if they call me?

You should never give an oral statement to the at-fault party's insurance company without counsel present.  If you are contacted, be polite and decline to talk about your injuries.  Insurance adjusters are skilled professional negotiators with vast experience in using psychological techniques to try and get you to give them information which may ultimately hurt your claim; including trying to discourage from seeking counsel from an attorney.