Thanks Guys for your help. I had a meeting with the chairman and resident coordinator, I received a letter with the contract, I signed and brought all the papers but the diploma translation there and the lady from GME office don't past the contract to sign (by the Hospital) until all the credential were with the contract; I was doing a pre-resident with them, worked for 5 months for free until license permit finally came out. They even ask me to draw the SFMatch last year because the position was for me. But I guess you are right without complete signature from two sides I dont have anything legal to start with. Im devastated
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Wait. This is a bit more complicated.
First, the contract/offer should have had language in it that specifically tells you how long you have until it expires (although it won't surprise me if it doesn't).
Regardless, if you signed the contract and tried to turn it in to them and they refused to take it (or said that you had to have the other paperwork at the same time), that may not be legal. My initial answer assumed that you just sat on the contract and waited until you had the rest of your paperwork. In that case, the program could reasonably argue that they assumed you were no longer interested, and gave the spot to someone else. But, if you signed it in a reasonable timeframe and tried to give it to them, and they refused to accept it, that's not reasonable. Or, at a minimum, they would need to spell out to you that you must get XYZ paperwork to them in a certain amount of time.
Bottom line is you need to decide whether you want to pursue this, or drop it. Given what you've posted now, you might have a case. You might not. Totally depends on exactly what happened when, what the contract says, and the laws of the city/state this is all happening in. Fighting it will be painful, long, and expensive. If you win, they might be forced to give you a position, and that could be miserable for all. But, they might also need to pay for any lost time, especially if this creates a situation where you lost out on other options.
If you decide to pursue it, you need to review this with a lawyer. They could give you some sense of how likely you are to win. Note that sometimes just having a lawyer call the place and start discussing might trigger them to just give you a spot to make it all go away. Could end well. Could end badly. Hard to tell.