First, I assume you are going to read the entire contract. I've seen some odd things over the years. Read every single page, every single word, assume nothing.
You can't negotiate if you can't walk away. Have at least more than one contract offer at the same time.
Termination clause - this applies to employee and employer
Immediate termination conditions need to be exactly spelled out. What exactly has to occur for immediate termination.
General termination - how much notice must they give you, and how much you must give them.
Malpractice insurance -
Employer should include a tail, or you'll wind up paying your own tail to cover the statute of limitations. If they disagree, at least you'll know to financially plan for that.
They should be required to provide you at your request (yearly), a copy of your malpractice coverage.
Exclusivity -
For those doing primarily contract 1099 work, make sure you are not excluded from other work, or at least the entire scope of what you could do.
Non-compete -
Three variables in non compete clauses: scope of practice, geography, and time duration.
Make sure you can live with whatever you agree to here.
For example, if a hospitalist, you could request permission to do focused outpatient work in your hometown, or vice a versa.
Supervisory role - NP, PA's?
Hold harmless -
This is THE big one. If you see a hold harmless clause in your contract, STOP and read it very carefully. Then read it again.
If you are not 100% completely comfortable with this clause, I strongly recommend seeking legal advice. This could be a massive financial liability for you that your malpractice won't cover.
One might accept to hold another harmless except in cases of 'willful misconduct or gross negligence'. I would never contractually agree to hold someone harmless if they were grossly negligent, willfully acted with misconduct, or engaged in criminal activity. If it's not in the contract, it's not in the contract.
A blanket all encompassing hold harmless is not good - run away.
For my contract work I have successfully negotiated this expected clause to reasonable, and equal (reciprocal), language several times.
Vacation, sick dates, call coverage.