Hi again. Thank you for the additional information and for your patience while I was temporarily away from my computer.
Q: what are the steps if law firm refuses to meet to go over bill?
A: Then you have the right to request fee arbitration (see below), you have the right to file a complaint with the state bar (click here: https://goo.gl/kGSFaJ), and you have the right to sue the firm. Possible causes of action in a civil lawsuit are unjust enrichment, fraud, breach of contract, and malpractice.
Q: how to begin and what are steps for arbitration in new york city?
A: You would choose your county from the list here: https://www.nycourts.gov/admin/feedispute/local_programs.shtml
Assuming you are in First Judicial District, you would use this form: https://www.nycourts.gov/admin/feedispute/pdfs/1stjd_NY_disputerefund.pdf
Q: do you have a referral for malpractice attorney in nyc?
A: While the terms of service do not allow me to refer you to a specific attorney, I strongly suggest that you use the NYC Bar's attorney referral service, which you can access online here: http://www.nycbar.org/get-legal-help/
They will be able to put you in touch with a lawyer who specializes in this area of law and who can represent you against the other firm as necessary.
Does that answer your question? Please let me know if you need clarification, as I am happy to continue helping you until you are satisfied.