What would be a fair amount to request for falling in a big chain store and they already want to settle out of court?

Case values vary widely from case to case and place to place. Consult an experienced personal injury lawyer in your area.

Based on the limited information you gave, you have a small case. It is worth whatever you can prove as damages.

You mention that you wore a knee brace for a short periosd of time, but other than that, you don't state what your injuries are. How can you ask us what a "fair amount" would be if you don't even tell us your injury? Did you lose time from work as a result of this? How much were the medical bills? Are there any residual problems? Who paid the medical bills, or are they unpaid? Assessment of damages in a personal injury case requires detailed analysis of liability, the injuries, and the effect of those injuries upon the individual. This analysis includes application of legal principles, evidentiary factors, medical documentation, out of pocket expenses, calculation of future losses and experience in your jurisdiction as to likely range of prospective jury awards. A "cookie-cutter" approach, a standard answer or a formula would be a disservice to someone such as yourself, who needs the help of an experienced personal injury lawyer. To answer the question properly, one would need extensive examination of all the evidence, particularly the medical records. Many people use this site to ask what their case is worth. Our answers are always: Get in touch with a personal injury lawyer in your area. That is the best way to get the best result in your case

If you have made a good recovery, such cases settle for around $5,000 to $10,000, depending on medical bills.

Slip and fall cases are not favored by anyone. if you have a good factual claim (you say you do, can you prove it?) the questions is what is your damage? wearing a brace for a while. That is not much damage why don't you have a personal injury lawyer review it. what does the doctor say about it all? what are your bills, any?

Your settlement amount is based on the amount of expenses you have. If you have not had any expenses (medical, time out of work, etc), then your settlement amount will be fairly small.

All your related medical bills, cover any lost work you can document is due to the injury, reasonable transportation expenses to and from medical appointments, any medications, cost of any medical hardware (braces, crutches, etc) that you can document and a reasonable amount to cover any pain/suffering. If you are doing it on your own, understand you will undoubtedly fair worse than if you have assistance from counsel, but you're entitled to go roll your own deal all the same.