Just to clarify, my company is under an NDA and not personally me. It also encompasses only the actual project details so a post like this is legally compliant. (Not a lawyer, might be wrong)
In every contract I've ever signed, part of the NDA clause with my employer is that I'm also bound by NDA's my employer is bound by, so if the employer signs an NDA with a customer, I would also be bound by that. It might be worth checking your contract, otherwise having a company sign an NDA doesn't hold much weight if their staff are free to go around sharing the information themselves.